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Finding the Fourth Proportional to 198,192.83, 297,334.67 and 85,891.90

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Solution

The fourth proportional to 198,192.83, 297,334.67 and 85,891.90 is: 128,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,192.83 : 297,334.67 = 85,891.90 : x
  2. Step 2: Convert to fraction form
    198,192.83/297,334.67 = 85,891.90/x
  3. Step 3: Cross multiply
    198,192.83x = 297,334.67 × 85,891.90
  4. Step 4: Simplify right side
    198,192.83x = 25,538,639,742.17
  5. Step 5: Solve for x
    x = 25,538,639,742.17/198,192.83
  6. Step 6: Final answer
    x = 128,857.54

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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.