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Finding the Fourth Proportional to 198,393.25, 297,588.25 and 80,062.78

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Solution

The fourth proportional to 198,393.25, 297,588.25 and 80,062.78 is: 120,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,393.25 : 297,588.25 = 80,062.78 : x
  2. Step 2: Convert to fraction form
    198,393.25/297,588.25 = 80,062.78/x
  3. Step 3: Cross multiply
    198,393.25x = 297,588.25 × 80,062.78
  4. Step 4: Simplify right side
    198,393.25x = 23,825,741,646.21
  5. Step 5: Solve for x
    x = 23,825,741,646.21/198,393.25
  6. Step 6: Final answer
    x = 120,093.51

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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.