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Finding the Fourth Proportional to 135,333.38, 202,962.92 and 75,287.88

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Solution

The fourth proportional to 135,333.38, 202,962.92 and 75,287.88 is: 112,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,333.38 : 202,962.92 = 75,287.88 : x
  2. Step 2: Convert to fraction form
    135,333.38/202,962.92 = 75,287.88/x
  3. Step 3: Cross multiply
    135,333.38x = 202,962.92 × 75,287.88
  4. Step 4: Simplify right side
    135,333.38x = 15,280,647,588.97
  5. Step 5: Solve for x
    x = 15,280,647,588.97/135,333.38
  6. Step 6: Final answer
    x = 112,911.15

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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.