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Finding the Fourth Proportional to 91,716.20, 137,282.70 and 65,472.20

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Solution

The fourth proportional to 91,716.20, 137,282.70 and 65,472.20 is: 98,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,716.20 : 137,282.70 = 65,472.20 : x
  2. Step 2: Convert to fraction form
    91,716.20/137,282.70 = 65,472.20/x
  3. Step 3: Cross multiply
    91,716.20x = 137,282.70 × 65,472.20
  4. Step 4: Simplify right side
    91,716.20x = 8,988,200,390.94
  5. Step 5: Solve for x
    x = 8,988,200,390.94/91,716.20
  6. Step 6: Final answer
    x = 98,000.14

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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.