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Finding the Fourth Proportional to 140,352.72, 193,689.54 and 76,694.46

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Solution

The fourth proportional to 140,352.72, 193,689.54 and 76,694.46 is: 105,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,352.72 : 193,689.54 = 76,694.46 : x
  2. Step 2: Convert to fraction form
    140,352.72/193,689.54 = 76,694.46/x
  3. Step 3: Cross multiply
    140,352.72x = 193,689.54 × 76,694.46
  4. Step 4: Simplify right side
    140,352.72x = 14,854,914,677.95
  5. Step 5: Solve for x
    x = 14,854,914,677.95/140,352.72
  6. Step 6: Final answer
    x = 105,839.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.