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Finding the Fourth Proportional to 267,716.31, 401,587.77 and 87,819.86

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Solution

The fourth proportional to 267,716.31, 401,587.77 and 87,819.86 is: 131,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,716.31 : 401,587.77 = 87,819.86 : x
  2. Step 2: Convert to fraction form
    267,716.31/401,587.77 = 87,819.86/x
  3. Step 3: Cross multiply
    267,716.31x = 401,587.77 × 87,819.86
  4. Step 4: Simplify right side
    267,716.31x = 35,267,383,072.41
  5. Step 5: Solve for x
    x = 35,267,383,072.41/267,716.31
  6. Step 6: Final answer
    x = 131,734.16

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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.