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Finding the Fourth Proportional to 231,408.92, 347,168.76 and 81,682.82

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Solution

The fourth proportional to 231,408.92, 347,168.76 and 81,682.82 is: 122,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,408.92 : 347,168.76 = 81,682.82 : x
  2. Step 2: Convert to fraction form
    231,408.92/347,168.76 = 81,682.82/x
  3. Step 3: Cross multiply
    231,408.92x = 347,168.76 × 81,682.82
  4. Step 4: Simplify right side
    231,408.92x = 28,357,723,332.70
  5. Step 5: Solve for x
    x = 28,357,723,332.70/231,408.92
  6. Step 6: Final answer
    x = 122,543.78

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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.