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Finding the Fourth Proportional to 81,896.85, 122,845.96 and 22,737.13

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Solution

The fourth proportional to 81,896.85, 122,845.96 and 22,737.13 is: 34,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896.85 : 122,845.96 = 22,737.13 : x
  2. Step 2: Convert to fraction form
    81,896.85/122,845.96 = 22,737.13/x
  3. Step 3: Cross multiply
    81,896.85x = 122,845.96 × 22,737.13
  4. Step 4: Simplify right side
    81,896.85x = 2,793,165,153.93
  5. Step 5: Solve for x
    x = 2,793,165,153.93/81,896.85
  6. Step 6: Final answer
    x = 34,105.89

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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.