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Finding the Fourth Proportional to 137,780.80, 206,474.40 and 78,491.20

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Solution

The fourth proportional to 137,780.80, 206,474.40 and 78,491.20 is: 117,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,780.80 : 206,474.40 = 78,491.20 : x
  2. Step 2: Convert to fraction form
    137,780.80/206,474.40 = 78,491.20/x
  3. Step 3: Cross multiply
    137,780.80x = 206,474.40 × 78,491.20
  4. Step 4: Simplify right side
    137,780.80x = 16,206,423,425.28
  5. Step 5: Solve for x
    x = 16,206,423,425.28/137,780.80
  6. Step 6: Final answer
    x = 117,624.69

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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.