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Finding the Fourth Proportional to 133,061.40, 199,737.90 and 83,197.80

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Solution

The fourth proportional to 133,061.40, 199,737.90 and 83,197.80 is: 124,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061.40 : 199,737.90 = 83,197.80 : x
  2. Step 2: Convert to fraction form
    133,061.40/199,737.90 = 83,197.80/x
  3. Step 3: Cross multiply
    133,061.40x = 199,737.90 × 83,197.80
  4. Step 4: Simplify right side
    133,061.40x = 16,617,753,856.62
  5. Step 5: Solve for x
    x = 16,617,753,856.62/133,061.40
  6. Step 6: Final answer
    x = 124,887.86

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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.