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Finding the Fourth Proportional to 267,761.34, 401,655.35 and 87,830.78

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Solution

The fourth proportional to 267,761.34, 401,655.35 and 87,830.78 is: 131,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,761.34 : 401,655.35 = 87,830.78 : x
  2. Step 2: Convert to fraction form
    267,761.34/401,655.35 = 87,830.78/x
  3. Step 3: Cross multiply
    267,761.34x = 401,655.35 × 87,830.78
  4. Step 4: Simplify right side
    267,761.34x = 35,277,700,892.97
  5. Step 5: Solve for x
    x = 35,277,700,892.97/267,761.34
  6. Step 6: Final answer
    x = 131,750.54

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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.