Hello lets solve this! :)
[tex]\sf\frac{4}{9}m = 72\\\\\sf{Multiply~\frac{9}{4}~on~both~sides~to~isolate~m}\\\\\frac{4}{9}m \times \frac{9}{4} = 72\times \frac{9}{4}\\\\m = 72\times \frac{9}{4}\\\\m = 18 \times 9\\\\\boxed{\bf{m=162}}[/tex]
Hope I helped! IIf you have any other questions or would like further explanation just let me know!! :)