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Finding the Fourth Proportional to 81,493.78, 122,227.56 and 22,315.60

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Solution

The fourth proportional to 81,493.78, 122,227.56 and 22,315.60 is: 33,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,493.78 : 122,227.56 = 22,315.60 : x
  2. Step 2: Convert to fraction form
    81,493.78/122,227.56 = 22,315.60/x
  3. Step 3: Cross multiply
    81,493.78x = 122,227.56 × 22,315.60
  4. Step 4: Simplify right side
    81,493.78x = 2,727,581,337.94
  5. Step 5: Solve for x
    x = 2,727,581,337.94/81,493.78
  6. Step 6: Final answer
    x = 33,469.81

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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.