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Finding the Fourth Proportional to 135,791.73, 203,687.64 and 86,190.57

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Solution

The fourth proportional to 135,791.73, 203,687.64 and 86,190.57 is: 129,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,791.73 : 203,687.64 = 86,190.57 : x
  2. Step 2: Convert to fraction form
    135,791.73/203,687.64 = 86,190.57/x
  3. Step 3: Cross multiply
    135,791.73x = 203,687.64 × 86,190.57
  4. Step 4: Simplify right side
    135,791.73x = 17,555,953,793.55
  5. Step 5: Solve for x
    x = 17,555,953,793.55/135,791.73
  6. Step 6: Final answer
    x = 129,285.88

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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.