<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-08-25</periodOfReport>

    <notSubjectToSection16>false</notSubjectToSection16>

    <issuer>
        <issuerCik>0002098430</issuerCik>
        <issuerName>Madison Air Solutions Corp</issuerName>
        <issuerTradingSymbol>MAIR</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001137404</rptOwnerCik>
            <rptOwnerName>BERTARELLI ERNESTO</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>true</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>C/O AVENUE GIUSEPPE MOTTA 31-33</rptOwnerStreet1>
            <rptOwnerStreet2>PO BOX 145</rptOwnerStreet2>
            <rptOwnerCity>GENEVA</rptOwnerCity>
            <rptOwnerNonUSStateTerritory></rptOwnerNonUSStateTerritory>
            <rptOwnerCountry>V8</rptOwnerCountry>
            <rptOwnerZipCode>CH-1211</rptOwnerZipCode>
            <rptOwnerStateDescription>SWITZERLAND</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>false</isDirector>
            <isOfficer>false</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>false</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002131198</rptOwnerCik>
            <rptOwnerName>KC Armada LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>true</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>GASPE HOUSE, 2ND FLOOR, 66-72 ESPLANADE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ST HELIER</rptOwnerCity>
            <rptOwnerNonUSStateTerritory></rptOwnerNonUSStateTerritory>
            <rptOwnerCountry>Y9</rptOwnerCountry>
            <rptOwnerZipCode>JE1 1GH</rptOwnerZipCode>
            <rptOwnerStateDescription>JERSEY</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>false</isDirector>
            <isOfficer>false</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>false</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>false</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-08-25</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>8770524</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>24.97</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>46387522</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By K.C. Armada, LP</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7224073</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Kedge Capital Principal Opportunities V, LP</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On August 25, 2026, K.C. Armada, LP purchased 8,770,524 shares of the Issuer's Class A common stock from the Issuer at a price of $24.97 per share in a private placement.</footnote>
        <footnote id="F2">Represents securities held by K.C. Armada, LP, which may be deemed to be beneficially owned by Ernesto Bertarelli. Mr. Bertarelli disclaims beneficial ownership of such securities, except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F3">Represents securities held by Kedge Capital Principal Opportunities V, LP, which may be deemed to be beneficially owned by Mr. Bertarelli. Mr. Bertarelli disclaims beneficial ownership of such securities, except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Edward Patrick Butler, as attorney-in-fact for Ernesto Bertarelli</signatureName>
        <signatureDate>2026-08-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>K.C. Armada, LP, acting by its general partner, Kedge Capital PE FoF GP Limited, By /s/ Andrew Le Gal, Director</signatureName>
        <signatureDate>2026-08-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>K.C. Armada, LP, acting by its general partner, Kedge Capital PE FoF GP Limited, By /s/ Sally Hardman, Director</signatureName>
        <signatureDate>2026-08-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
