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Finding the Fourth Proportional to 103,149.38, 142,132.82 and 82,925.10

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Solution

The fourth proportional to 103,149.38, 142,132.82 and 82,925.10 is: 114,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,149.38 : 142,132.82 = 82,925.10 : x
  2. Step 2: Convert to fraction form
    103,149.38/142,132.82 = 82,925.10/x
  3. Step 3: Cross multiply
    103,149.38x = 142,132.82 × 82,925.10
  4. Step 4: Simplify right side
    103,149.38x = 11,786,377,897.16
  5. Step 5: Solve for x
    x = 11,786,377,897.16/103,149.38
  6. Step 6: Final answer
    x = 114,265.13

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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.