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Finding the Fourth Proportional to 135,882.68, 203,716.85 and 85,857.35

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Solution

The fourth proportional to 135,882.68, 203,716.85 and 85,857.35 is: 128,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882.68 : 203,716.85 = 85,857.35 : x
  2. Step 2: Convert to fraction form
    135,882.68/203,716.85 = 85,857.35/x
  3. Step 3: Cross multiply
    135,882.68x = 203,716.85 × 85,857.35
  4. Step 4: Simplify right side
    135,882.68x = 17,490,587,443.48
  5. Step 5: Solve for x
    x = 17,490,587,443.48/135,882.68
  6. Step 6: Final answer
    x = 128,718.30

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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.