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Finding the Fourth Proportional to 267,205.11, 400,797.95 and 80,211.75

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Solution

The fourth proportional to 267,205.11, 400,797.95 and 80,211.75 is: 120,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,205.11 : 400,797.95 = 80,211.75 : x
  2. Step 2: Convert to fraction form
    267,205.11/400,797.95 = 80,211.75/x
  3. Step 3: Cross multiply
    267,205.11x = 400,797.95 × 80,211.75
  4. Step 4: Simplify right side
    267,205.11x = 32,148,704,564.85
  5. Step 5: Solve for x
    x = 32,148,704,564.85/267,205.11
  6. Step 6: Final answer
    x = 120,314.71

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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.