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Finding the Fourth Proportional to 80,429.76, 120,600.80 and 27,834.88

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Solution

The fourth proportional to 80,429.76, 120,600.80 and 27,834.88 is: 41,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,429.76 : 120,600.80 = 27,834.88 : x
  2. Step 2: Convert to fraction form
    80,429.76/120,600.80 = 27,834.88/x
  3. Step 3: Cross multiply
    80,429.76x = 120,600.80 × 27,834.88
  4. Step 4: Simplify right side
    80,429.76x = 3,356,908,795.90
  5. Step 5: Solve for x
    x = 3,356,908,795.90/80,429.76
  6. Step 6: Final answer
    x = 41,737.15

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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.