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Finding the Fourth Proportional to 188,906.91, 260,691.12 and 102,864.55

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Solution

The fourth proportional to 188,906.91, 260,691.12 and 102,864.55 is: 141,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,906.91 : 260,691.12 = 102,864.55 : x
  2. Step 2: Convert to fraction form
    188,906.91/260,691.12 = 102,864.55/x
  3. Step 3: Cross multiply
    188,906.91x = 260,691.12 × 102,864.55
  4. Step 4: Simplify right side
    188,906.91x = 26,815,874,747.80
  5. Step 5: Solve for x
    x = 26,815,874,747.80/188,906.91
  6. Step 6: Final answer
    x = 141,952.85

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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.