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Finding the Fourth Proportional to 137,842.56, 206,761.44 and 75,479.04

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Solution

The fourth proportional to 137,842.56, 206,761.44 and 75,479.04 is: 113,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,842.56 : 206,761.44 = 75,479.04 : x
  2. Step 2: Convert to fraction form
    137,842.56/206,761.44 = 75,479.04/x
  3. Step 3: Cross multiply
    137,842.56x = 206,761.44 × 75,479.04
  4. Step 4: Simplify right side
    137,842.56x = 15,606,155,000.22
  5. Step 5: Solve for x
    x = 15,606,155,000.22/137,842.56
  6. Step 6: Final answer
    x = 113,217.25

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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.