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Finding the Fourth Proportional to 81,989.78, 122,932.01 and 34,591.90

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Solution

The fourth proportional to 81,989.78, 122,932.01 and 34,591.90 is: 51,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,989.78 : 122,932.01 = 34,591.90 : x
  2. Step 2: Convert to fraction form
    81,989.78/122,932.01 = 34,591.90/x
  3. Step 3: Cross multiply
    81,989.78x = 122,932.01 × 34,591.90
  4. Step 4: Simplify right side
    81,989.78x = 4,252,452,338.46
  5. Step 5: Solve for x
    x = 4,252,452,338.46/81,989.78
  6. Step 6: Final answer
    x = 51,865.64

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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.