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Finding the Fourth Proportional to 66,531.70, 99,816.68 and 38,471.86

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Solution

The fourth proportional to 66,531.70, 99,816.68 and 38,471.86 is: 57,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,531.70 : 99,816.68 = 38,471.86 : x
  2. Step 2: Convert to fraction form
    66,531.70/99,816.68 = 38,471.86/x
  3. Step 3: Cross multiply
    66,531.70x = 99,816.68 × 38,471.86
  4. Step 4: Simplify right side
    66,531.70x = 3,840,133,338.62
  5. Step 5: Solve for x
    x = 3,840,133,338.62/66,531.70
  6. Step 6: Final answer
    x = 57,718.85

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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.