Finding the Fourth Proportional to 162,202.92, 223,945.34 and 145,177.68
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Solution
The fourth proportional to 162,202.92, 223,945.34 and 145,177.68 is: 200,439.46
Step by Step Solution
- Step 1: Write the proportion equation
162,202.92 : 223,945.34 = 145,177.68 : x - Step 2: Convert to fraction form
162,202.92/223,945.34 = 145,177.68/x - Step 3: Cross multiply
162,202.92x = 223,945.34 × 145,177.68 - Step 4: Simplify right side
162,202.92x = 32,511,864,908.01 - Step 5: Solve for x
x = 32,511,864,908.01/162,202.92 - Step 6: Final answer
x = 200,439.46
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.