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Finding the Fourth Proportional to 81,666.48, 122,488.56 and 22,493.64

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Solution

The fourth proportional to 81,666.48, 122,488.56 and 22,493.64 is: 33,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666.48 : 122,488.56 = 22,493.64 : x
  2. Step 2: Convert to fraction form
    81,666.48/122,488.56 = 22,493.64/x
  3. Step 3: Cross multiply
    81,666.48x = 122,488.56 × 22,493.64
  4. Step 4: Simplify right side
    81,666.48x = 2,755,213,572.76
  5. Step 5: Solve for x
    x = 2,755,213,572.76/81,666.48
  6. Step 6: Final answer
    x = 33,737.39

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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.