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Finding the Fourth Proportional to 132,043.54, 198,191.07 and 81,972.10

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Solution

The fourth proportional to 132,043.54, 198,191.07 and 81,972.10 is: 123,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,043.54 : 198,191.07 = 81,972.10 : x
  2. Step 2: Convert to fraction form
    132,043.54/198,191.07 = 81,972.10/x
  3. Step 3: Cross multiply
    132,043.54x = 198,191.07 × 81,972.10
  4. Step 4: Simplify right side
    132,043.54x = 16,246,138,209.15
  5. Step 5: Solve for x
    x = 16,246,138,209.15/132,043.54
  6. Step 6: Final answer
    x = 123,036.22

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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.