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Finding the Fourth Proportional to 132,115.70, 198,173.55 and 82,349.30

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Solution

The fourth proportional to 132,115.70, 198,173.55 and 82,349.30 is: 123,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,115.70 : 198,173.55 = 82,349.30 : x
  2. Step 2: Convert to fraction form
    132,115.70/198,173.55 = 82,349.30/x
  3. Step 3: Cross multiply
    132,115.70x = 198,173.55 × 82,349.30
  4. Step 4: Simplify right side
    132,115.70x = 16,319,453,121.02
  5. Step 5: Solve for x
    x = 16,319,453,121.02/132,115.70
  6. Step 6: Final answer
    x = 123,523.95

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1.5x scale

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.