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Finding the Fourth Proportional to 267,137.26, 400,696.17 and 80,143.90

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Solution

The fourth proportional to 267,137.26, 400,696.17 and 80,143.90 is: 120,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,137.26 : 400,696.17 = 80,143.90 : x
  2. Step 2: Convert to fraction form
    267,137.26/400,696.17 = 80,143.90/x
  3. Step 3: Cross multiply
    267,137.26x = 400,696.17 × 80,143.90
  4. Step 4: Simplify right side
    267,137.26x = 32,113,353,778.86
  5. Step 5: Solve for x
    x = 32,113,353,778.86/267,137.26
  6. Step 6: Final answer
    x = 120,212.93

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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.