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Finding the Fourth Proportional to 225,886.75, 338,761 and 76,086.88

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Solution

The fourth proportional to 225,886.75, 338,761 and 76,086.88 is: 114,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.75 : 338,761 = 76,086.88 : x
  2. Step 2: Convert to fraction form
    225,886.75/338,761 = 76,086.88/x
  3. Step 3: Cross multiply
    225,886.75x = 338,761 × 76,086.88
  4. Step 4: Simplify right side
    225,886.75x = 25,775,267,555.68
  5. Step 5: Solve for x
    x = 25,775,267,555.68/225,886.75
  6. Step 6: Final answer
    x = 114,107.04

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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.