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Finding the Fourth Proportional to 71,932.20, 107,800.67 and 38,189.70

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Solution

The fourth proportional to 71,932.20, 107,800.67 and 38,189.70 is: 57,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,932.20 : 107,800.67 = 38,189.70 : x
  2. Step 2: Convert to fraction form
    71,932.20/107,800.67 = 38,189.70/x
  3. Step 3: Cross multiply
    71,932.20x = 107,800.67 × 38,189.70
  4. Step 4: Simplify right side
    71,932.20x = 4,116,875,056.15
  5. Step 5: Solve for x
    x = 4,116,875,056.15/71,932.20
  6. Step 6: Final answer
    x = 57,232.71

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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.