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Finding the Fourth Proportional to 198,601.22, 297,734.01 and 86,196.44

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Solution

The fourth proportional to 198,601.22, 297,734.01 and 86,196.44 is: 129,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,601.22 : 297,734.01 = 86,196.44 : x
  2. Step 2: Convert to fraction form
    198,601.22/297,734.01 = 86,196.44/x
  3. Step 3: Cross multiply
    198,601.22x = 297,734.01 × 86,196.44
  4. Step 4: Simplify right side
    198,601.22x = 25,663,611,728.92
  5. Step 5: Solve for x
    x = 25,663,611,728.92/198,601.22
  6. Step 6: Final answer
    x = 129,221.82

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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.