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Finding the Fourth Proportional to 198,841.44, 298,167.84 and 72,392.16

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Solution

The fourth proportional to 198,841.44, 298,167.84 and 72,392.16 is: 108,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,841.44 : 298,167.84 = 72,392.16 : x
  2. Step 2: Convert to fraction form
    198,841.44/298,167.84 = 72,392.16/x
  3. Step 3: Cross multiply
    198,841.44x = 298,167.84 × 72,392.16
  4. Step 4: Simplify right side
    198,841.44x = 21,585,013,980.13
  5. Step 5: Solve for x
    x = 21,585,013,980.13/198,841.44
  6. Step 6: Final answer
    x = 108,553.90

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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.