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Finding the Fourth Proportional to 132,711.54, 198,599.60 and 82,815.14

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Solution

The fourth proportional to 132,711.54, 198,599.60 and 82,815.14 is: 123,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,711.54 : 198,599.60 = 82,815.14 : x
  2. Step 2: Convert to fraction form
    132,711.54/198,599.60 = 82,815.14/x
  3. Step 3: Cross multiply
    132,711.54x = 198,599.60 × 82,815.14
  4. Step 4: Simplify right side
    132,711.54x = 16,447,053,677.94
  5. Step 5: Solve for x
    x = 16,447,053,677.94/132,711.54
  6. Step 6: Final answer
    x = 123,930.85

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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.