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Finding the Fourth Proportional to 198,488.56, 297,713.40 and 80,124.88

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Solution

The fourth proportional to 198,488.56, 297,713.40 and 80,124.88 is: 120,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,488.56 : 297,713.40 = 80,124.88 : x
  2. Step 2: Convert to fraction form
    198,488.56/297,713.40 = 80,124.88/x
  3. Step 3: Cross multiply
    198,488.56x = 297,713.40 × 80,124.88
  4. Step 4: Simplify right side
    198,488.56x = 23,854,250,449.39
  5. Step 5: Solve for x
    x = 23,854,250,449.39/198,488.56
  6. Step 6: Final answer
    x = 120,179.47

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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.