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Finding the Fourth Proportional to 278,489.88, 417,742.92 and 68,127.75

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Solution

The fourth proportional to 278,489.88, 417,742.92 and 68,127.75 is: 102,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,489.88 : 417,742.92 = 68,127.75 : x
  2. Step 2: Convert to fraction form
    278,489.88/417,742.92 = 68,127.75/x
  3. Step 3: Cross multiply
    278,489.88x = 417,742.92 × 68,127.75
  4. Step 4: Simplify right side
    278,489.88x = 28,459,885,218.03
  5. Step 5: Solve for x
    x = 28,459,885,218.03/278,489.88
  6. Step 6: Final answer
    x = 102,193.61

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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.