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Finding the Fourth Proportional to 80,446.80, 120,509.82 and 62,834.16

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Solution

The fourth proportional to 80,446.80, 120,509.82 and 62,834.16 is: 94,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,446.80 : 120,509.82 = 62,834.16 : x
  2. Step 2: Convert to fraction form
    80,446.80/120,509.82 = 62,834.16/x
  3. Step 3: Cross multiply
    80,446.80x = 120,509.82 × 62,834.16
  4. Step 4: Simplify right side
    80,446.80x = 7,572,133,311.45
  5. Step 5: Solve for x
    x = 7,572,133,311.45/80,446.80
  6. Step 6: Final answer
    x = 94,125.97

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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.