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Finding the Fourth Proportional to 198,959.10, 298,491.45 and 86,591.10

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Solution

The fourth proportional to 198,959.10, 298,491.45 and 86,591.10 is: 129,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,959.10 : 298,491.45 = 86,591.10 : x
  2. Step 2: Convert to fraction form
    198,959.10/298,491.45 = 86,591.10/x
  3. Step 3: Cross multiply
    198,959.10x = 298,491.45 × 86,591.10
  4. Step 4: Simplify right side
    198,959.10x = 25,846,702,996.10
  5. Step 5: Solve for x
    x = 25,846,702,996.10/198,959.10
  6. Step 6: Final answer
    x = 129,909.63

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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.