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Finding the Fourth Proportional to 81,864.75, 122,600.13 and 55,489.53

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Solution

The fourth proportional to 81,864.75, 122,600.13 and 55,489.53 is: 83,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864.75 : 122,600.13 = 55,489.53 : x
  2. Step 2: Convert to fraction form
    81,864.75/122,600.13 = 55,489.53/x
  3. Step 3: Cross multiply
    81,864.75x = 122,600.13 × 55,489.53
  4. Step 4: Simplify right side
    81,864.75x = 6,803,023,591.64
  5. Step 5: Solve for x
    x = 6,803,023,591.64/81,864.75
  6. Step 6: Final answer
    x = 83,100.77

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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.