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Finding the Fourth Proportional to 198,891.92, 298,338.69 and 80,565.50

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Solution

The fourth proportional to 198,891.92, 298,338.69 and 80,565.50 is: 120,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,891.92 : 298,338.69 = 80,565.50 : x
  2. Step 2: Convert to fraction form
    198,891.92/298,338.69 = 80,565.50/x
  3. Step 3: Cross multiply
    198,891.92x = 298,338.69 × 80,565.50
  4. Step 4: Simplify right side
    198,891.92x = 24,035,806,777.16
  5. Step 5: Solve for x
    x = 24,035,806,777.16/198,891.92
  6. Step 6: Final answer
    x = 120,848.58

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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.