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Finding the Fourth Proportional to 83,257.61, 124,904.84 and 38,860.11

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Solution

The fourth proportional to 83,257.61, 124,904.84 and 38,860.11 is: 58,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.61 : 124,904.84 = 38,860.11 : x
  2. Step 2: Convert to fraction form
    83,257.61/124,904.84 = 38,860.11/x
  3. Step 3: Cross multiply
    83,257.61x = 124,904.84 × 38,860.11
  4. Step 4: Simplify right side
    83,257.61x = 4,853,815,627.63
  5. Step 5: Solve for x
    x = 4,853,815,627.63/83,257.61
  6. Step 6: Final answer
    x = 58,298.77

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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.