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Finding the Fourth Proportional to 132,561.92, 182,931.84 and 72,945.92

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Solution

The fourth proportional to 132,561.92, 182,931.84 and 72,945.92 is: 100,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,561.92 : 182,931.84 = 72,945.92 : x
  2. Step 2: Convert to fraction form
    132,561.92/182,931.84 = 72,945.92/x
  3. Step 3: Cross multiply
    132,561.92x = 182,931.84 × 72,945.92
  4. Step 4: Simplify right side
    132,561.92x = 13,344,131,366.09
  5. Step 5: Solve for x
    x = 13,344,131,366.09/132,561.92
  6. Step 6: Final answer
    x = 100,663.38

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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.