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Finding the Fourth Proportional to 80,306.40, 120,391.86 and 50,658.87

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Solution

The fourth proportional to 80,306.40, 120,391.86 and 50,658.87 is: 75,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,306.40 : 120,391.86 = 50,658.87 : x
  2. Step 2: Convert to fraction form
    80,306.40/120,391.86 = 50,658.87/x
  3. Step 3: Cross multiply
    80,306.40x = 120,391.86 × 50,658.87
  4. Step 4: Simplify right side
    80,306.40x = 6,098,915,584.80
  5. Step 5: Solve for x
    x = 6,098,915,584.80/80,306.40
  6. Step 6: Final answer
    x = 75,945.57

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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.