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Finding the Fourth Proportional to 129,332, 178,488.42 and 72,747.56

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Solution

The fourth proportional to 129,332, 178,488.42 and 72,747.56 is: 100,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,332 : 178,488.42 = 72,747.56 : x
  2. Step 2: Convert to fraction form
    129,332/178,488.42 = 72,747.56/x
  3. Step 3: Cross multiply
    129,332x = 178,488.42 × 72,747.56
  4. Step 4: Simplify right side
    129,332x = 12,984,597,043.26
  5. Step 5: Solve for x
    x = 12,984,597,043.26/129,332
  6. Step 6: Final answer
    x = 100,397.40

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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.