\(a=3d=4c=5d\Rightarrow\frac{a}{60}=\frac{b}{20}=\frac{c}{15}=\frac{d}{12}\Leftrightarrow\frac{ab}{1200}=\frac{c^2}{255}=\frac{d^2}{144}=\frac{ab-c^2-d^2}{1200-255-144}\Leftrightarrow\frac{d^2}{144}=\frac{831}{831}\Leftrightarrow d=12\Rightarrow b=20;c=15\Rightarrow\)