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Finding the Fourth Proportional to 91,764.57, 137,530.80 and 52,343.88

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Solution

The fourth proportional to 91,764.57, 137,530.80 and 52,343.88 is: 78,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,764.57 : 137,530.80 = 52,343.88 : x
  2. Step 2: Convert to fraction form
    91,764.57/137,530.80 = 52,343.88/x
  3. Step 3: Cross multiply
    91,764.57x = 137,530.80 × 52,343.88
  4. Step 4: Simplify right side
    91,764.57x = 7,198,895,691.50
  5. Step 5: Solve for x
    x = 7,198,895,691.50/91,764.57
  6. Step 6: Final answer
    x = 78,449.62

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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.