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Finding the Fourth Proportional to 133,868.43, 200,737.98 and 77,722.65

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Solution

The fourth proportional to 133,868.43, 200,737.98 and 77,722.65 is: 116,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,868.43 : 200,737.98 = 77,722.65 : x
  2. Step 2: Convert to fraction form
    133,868.43/200,737.98 = 77,722.65/x
  3. Step 3: Cross multiply
    133,868.43x = 200,737.98 × 77,722.65
  4. Step 4: Simplify right side
    133,868.43x = 15,601,887,761.25
  5. Step 5: Solve for x
    x = 15,601,887,761.25/133,868.43
  6. Step 6: Final answer
    x = 116,546.43

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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.