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Finding the Fourth Proportional to 198,759.16, 298,234.39 and 98,928.08

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Solution

The fourth proportional to 198,759.16, 298,234.39 and 98,928.08 is: 148,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,759.16 : 298,234.39 = 98,928.08 : x
  2. Step 2: Convert to fraction form
    198,759.16/298,234.39 = 98,928.08/x
  3. Step 3: Cross multiply
    198,759.16x = 298,234.39 × 98,928.08
  4. Step 4: Simplify right side
    198,759.16x = 29,503,753,854.18
  5. Step 5: Solve for x
    x = 29,503,753,854.18/198,759.16
  6. Step 6: Final answer
    x = 148,439.72

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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.