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Finding the Fourth Proportional to 135,234, 202,610.43 and 115,310.43

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Solution

The fourth proportional to 135,234, 202,610.43 and 115,310.43 is: 172,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,234 : 202,610.43 = 115,310.43 : x
  2. Step 2: Convert to fraction form
    135,234/202,610.43 = 115,310.43/x
  3. Step 3: Cross multiply
    135,234x = 202,610.43 × 115,310.43
  4. Step 4: Simplify right side
    135,234x = 23,363,095,805.78
  5. Step 5: Solve for x
    x = 23,363,095,805.78/135,234
  6. Step 6: Final answer
    x = 172,760.52

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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.