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Finding the Fourth Proportional to 132,731.59, 198,629.61 and 82,835.14

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Solution

The fourth proportional to 132,731.59, 198,629.61 and 82,835.14 is: 123,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,731.59 : 198,629.61 = 82,835.14 : x
  2. Step 2: Convert to fraction form
    132,731.59/198,629.61 = 82,835.14/x
  3. Step 3: Cross multiply
    132,731.59x = 198,629.61 × 82,835.14
  4. Step 4: Simplify right side
    132,731.59x = 16,453,511,552.50
  5. Step 5: Solve for x
    x = 16,453,511,552.50/132,731.59
  6. Step 6: Final answer
    x = 123,960.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.