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Finding the Fourth Proportional to 267,733.80, 401,658.30 and 80,764.20

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Solution

The fourth proportional to 267,733.80, 401,658.30 and 80,764.20 is: 121,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,733.80 : 401,658.30 = 80,764.20 : x
  2. Step 2: Convert to fraction form
    267,733.80/401,658.30 = 80,764.20/x
  3. Step 3: Cross multiply
    267,733.80x = 401,658.30 × 80,764.20
  4. Step 4: Simplify right side
    267,733.80x = 32,439,611,272.86
  5. Step 5: Solve for x
    x = 32,439,611,272.86/267,733.80
  6. Step 6: Final answer
    x = 121,163.68

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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.