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Finding the Fourth Proportional to 135,387.65, 203,080.84 and 34,185.92

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Solution

The fourth proportional to 135,387.65, 203,080.84 and 34,185.92 is: 51,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,387.65 : 203,080.84 = 34,185.92 : x
  2. Step 2: Convert to fraction form
    135,387.65/203,080.84 = 34,185.92/x
  3. Step 3: Cross multiply
    135,387.65x = 203,080.84 × 34,185.92
  4. Step 4: Simplify right side
    135,387.65x = 6,942,504,248.90
  5. Step 5: Solve for x
    x = 6,942,504,248.90/135,387.65
  6. Step 6: Final answer
    x = 51,278.71

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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.