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Finding the Fourth Proportional to 138,034.20, 206,978.40 and 59,059.20

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Solution

The fourth proportional to 138,034.20, 206,978.40 and 59,059.20 is: 88,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,034.20 : 206,978.40 = 59,059.20 : x
  2. Step 2: Convert to fraction form
    138,034.20/206,978.40 = 59,059.20/x
  3. Step 3: Cross multiply
    138,034.20x = 206,978.40 × 59,059.20
  4. Step 4: Simplify right side
    138,034.20x = 12,223,978,721.28
  5. Step 5: Solve for x
    x = 12,223,978,721.28/138,034.20
  6. Step 6: Final answer
    x = 88,557.61

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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.