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Finding the Fourth Proportional to 135,290.28, 202,672.98 and 99,687

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Solution

The fourth proportional to 135,290.28, 202,672.98 and 99,687 is: 149,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,290.28 : 202,672.98 = 99,687 : x
  2. Step 2: Convert to fraction form
    135,290.28/202,672.98 = 99,687/x
  3. Step 3: Cross multiply
    135,290.28x = 202,672.98 × 99,687
  4. Step 4: Simplify right side
    135,290.28x = 20,203,861,357.26
  5. Step 5: Solve for x
    x = 20,203,861,357.26/135,290.28
  6. Step 6: Final answer
    x = 149,337.12

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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.