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Finding the Fourth Proportional to 135,343.96, 203,035.38 and 41,857

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Solution

The fourth proportional to 135,343.96, 203,035.38 and 41,857 is: 62,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,343.96 : 203,035.38 = 41,857 : x
  2. Step 2: Convert to fraction form
    135,343.96/203,035.38 = 41,857/x
  3. Step 3: Cross multiply
    135,343.96x = 203,035.38 × 41,857
  4. Step 4: Simplify right side
    135,343.96x = 8,498,451,900.66
  5. Step 5: Solve for x
    x = 8,498,451,900.66/135,343.96
  6. Step 6: Final answer
    x = 62,791.51

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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.