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Finding the Fourth Proportional to 71,930.33, 107,797.85 and 38,187.82

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Solution

The fourth proportional to 71,930.33, 107,797.85 and 38,187.82 is: 57,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,930.33 : 107,797.85 = 38,187.82 : x
  2. Step 2: Convert to fraction form
    71,930.33/107,797.85 = 38,187.82/x
  3. Step 3: Cross multiply
    71,930.33x = 107,797.85 × 38,187.82
  4. Step 4: Simplify right side
    71,930.33x = 4,116,565,194.01
  5. Step 5: Solve for x
    x = 4,116,565,194.01/71,930.33
  6. Step 6: Final answer
    x = 57,229.90

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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.