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Finding the Fourth Proportional to 100,296.46, 138,403.65 and 54,974.53

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Solution

The fourth proportional to 100,296.46, 138,403.65 and 54,974.53 is: 75,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296.46 : 138,403.65 = 54,974.53 : x
  2. Step 2: Convert to fraction form
    100,296.46/138,403.65 = 54,974.53/x
  3. Step 3: Cross multiply
    100,296.46x = 138,403.65 × 54,974.53
  4. Step 4: Simplify right side
    100,296.46x = 7,608,675,609.03
  5. Step 5: Solve for x
    x = 7,608,675,609.03/100,296.46
  6. Step 6: Final answer
    x = 75,861.86

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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.