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Finding the Fourth Proportional to 138,620.83, 207,894.34 and 38,774.83

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Solution

The fourth proportional to 138,620.83, 207,894.34 and 38,774.83 is: 58,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,620.83 : 207,894.34 = 38,774.83 : x
  2. Step 2: Convert to fraction form
    138,620.83/207,894.34 = 38,774.83/x
  3. Step 3: Cross multiply
    138,620.83x = 207,894.34 × 38,774.83
  4. Step 4: Simplify right side
    138,620.83x = 8,061,067,691.46
  5. Step 5: Solve for x
    x = 8,061,067,691.46/138,620.83
  6. Step 6: Final answer
    x = 58,151.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.