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Finding the Fourth Proportional to 139,966.56, 209,761.92 and 76,691.52

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Solution

The fourth proportional to 139,966.56, 209,761.92 and 76,691.52 is: 114,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,966.56 : 209,761.92 = 76,691.52 : x
  2. Step 2: Convert to fraction form
    139,966.56/209,761.92 = 76,691.52/x
  3. Step 3: Cross multiply
    139,966.56x = 209,761.92 × 76,691.52
  4. Step 4: Simplify right side
    139,966.56x = 16,086,960,482.92
  5. Step 5: Solve for x
    x = 16,086,960,482.92/139,966.56
  6. Step 6: Final answer
    x = 114,934.31

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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.