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Finding the Fourth Proportional to 135,375.80, 203,121.30 and 85,494.20

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Solution

The fourth proportional to 135,375.80, 203,121.30 and 85,494.20 is: 128,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,375.80 : 203,121.30 = 85,494.20 : x
  2. Step 2: Convert to fraction form
    135,375.80/203,121.30 = 85,494.20/x
  3. Step 3: Cross multiply
    135,375.80x = 203,121.30 × 85,494.20
  4. Step 4: Simplify right side
    135,375.80x = 17,365,693,046.46
  5. Step 5: Solve for x
    x = 17,365,693,046.46/135,375.80
  6. Step 6: Final answer
    x = 128,277.68

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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.