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Finding the Fourth Proportional to 198,439.92, 297,708.48 and 98,647.11

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Solution

The fourth proportional to 198,439.92, 297,708.48 and 98,647.11 is: 147,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,439.92 : 297,708.48 = 98,647.11 : x
  2. Step 2: Convert to fraction form
    198,439.92/297,708.48 = 98,647.11/x
  3. Step 3: Cross multiply
    198,439.92x = 297,708.48 × 98,647.11
  4. Step 4: Simplify right side
    198,439.92x = 29,368,081,174.49
  5. Step 5: Solve for x
    x = 29,368,081,174.49/198,439.92
  6. Step 6: Final answer
    x = 147,994.82

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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.