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Finding the Fourth Proportional to 66,842.25, 100,269.56 and 21,863.86

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Solution

The fourth proportional to 66,842.25, 100,269.56 and 21,863.86 is: 32,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,842.25 : 100,269.56 = 21,863.86 : x
  2. Step 2: Convert to fraction form
    66,842.25/100,269.56 = 21,863.86/x
  3. Step 3: Cross multiply
    66,842.25x = 100,269.56 × 21,863.86
  4. Step 4: Simplify right side
    66,842.25x = 2,192,279,512.78
  5. Step 5: Solve for x
    x = 2,192,279,512.78/66,842.25
  6. Step 6: Final answer
    x = 32,797.81

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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.