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Finding the Fourth Proportional to 198,540.57, 297,566.86 and 91,780.11

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Solution

The fourth proportional to 198,540.57, 297,566.86 and 91,780.11 is: 137,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,540.57 : 297,566.86 = 91,780.11 : x
  2. Step 2: Convert to fraction form
    198,540.57/297,566.86 = 91,780.11/x
  3. Step 3: Cross multiply
    198,540.57x = 297,566.86 × 91,780.11
  4. Step 4: Simplify right side
    198,540.57x = 27,310,719,143.15
  5. Step 5: Solve for x
    x = 27,310,719,143.15/198,540.57
  6. Step 6: Final answer
    x = 137,557.38

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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.