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Finding the Fourth Proportional to 198,432.78, 297,819.30 and 80,188.98

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Solution

The fourth proportional to 198,432.78, 297,819.30 and 80,188.98 is: 120,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432.78 : 297,819.30 = 80,188.98 : x
  2. Step 2: Convert to fraction form
    198,432.78/297,819.30 = 80,188.98/x
  3. Step 3: Cross multiply
    198,432.78x = 297,819.30 × 80,188.98
  4. Step 4: Simplify right side
    198,432.78x = 23,881,825,891.31
  5. Step 5: Solve for x
    x = 23,881,825,891.31/198,432.78
  6. Step 6: Final answer
    x = 120,352.22

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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.