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Finding the Fourth Proportional to 100,169.54, 138,229.70 and 54,846.70

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Solution

The fourth proportional to 100,169.54, 138,229.70 and 54,846.70 is: 75,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.54 : 138,229.70 = 54,846.70 : x
  2. Step 2: Convert to fraction form
    100,169.54/138,229.70 = 54,846.70/x
  3. Step 3: Cross multiply
    100,169.54x = 138,229.70 × 54,846.70
  4. Step 4: Simplify right side
    100,169.54x = 7,581,442,886.99
  5. Step 5: Solve for x
    x = 7,581,442,886.99/100,169.54
  6. Step 6: Final answer
    x = 75,686.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.