Verified Answer :

(4/9)m=72
m=(72*9)/4
m=648/4
m=162

answer. m=162

Hello lets solve this! :)
\(\sf\frac{4}{9}m = 72\\\\\sf{Multiply~\frac{9}{4}~on~both~sides~to~isolate~m}\\\\\frac{4}{9}m \times \frac{9}{4} = 72\times \frac{9}{4}\\\\m = 72\times \frac{9}{4}\\\\m = 18 \times 9\\\\\boxed{\bf{m=162}}\)

Hope I helped! IIf you have any other questions or would like further explanation just let me know!! :)