Solve 160/x=112/2172.8

$$\frac{ 160 }{ x } = \frac{ 112 }{ 2172.8 }$$

Solve for x

$$x=3104$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$160=x\times \frac{112}{2172.8}$$

Expand \frac{112}{2172.8} by multiplying both numerator and the denominator by 10.

$$160=x\times \frac{1120}{21728}$$

Reduce the fraction \frac{1120}{21728} to lowest terms by extracting and canceling out 224.

$$160=x\times \frac{5}{97}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{5}{97}=160$$

Multiply both sides by \frac{97}{5}, the reciprocal of \frac{5}{97}.

$$x=160\times \frac{97}{5}$$

Express 160\times \frac{97}{5} as a single fraction.

$$x=\frac{160\times 97}{5}$$

Multiply 160 and 97 to get 15520.

$$x=\frac{15520}{5}$$

Divide 15520 by 5 to get 3104.

$$x=3104$$