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Finding the Fourth Proportional to 81,767.67, 122,737.31 and 72,467.19

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Solution

The fourth proportional to 81,767.67, 122,737.31 and 72,467.19 is: 108,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,767.67 : 122,737.31 = 72,467.19 : x
  2. Step 2: Convert to fraction form
    81,767.67/122,737.31 = 72,467.19/x
  3. Step 3: Cross multiply
    81,767.67x = 122,737.31 × 72,467.19
  4. Step 4: Simplify right side
    81,767.67x = 8,894,427,601.52
  5. Step 5: Solve for x
    x = 8,894,427,601.52/81,767.67
  6. Step 6: Final answer
    x = 108,776.83

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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.