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Finding the Fourth Proportional to 231,542.70, 347,119.65 and 120,734.70

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Solution

The fourth proportional to 231,542.70, 347,119.65 and 120,734.70 is: 181,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,542.70 : 347,119.65 = 120,734.70 : x
  2. Step 2: Convert to fraction form
    231,542.70/347,119.65 = 120,734.70/x
  3. Step 3: Cross multiply
    231,542.70x = 347,119.65 × 120,734.70
  4. Step 4: Simplify right side
    231,542.70x = 41,909,386,806.86
  5. Step 5: Solve for x
    x = 41,909,386,806.86/231,542.70
  6. Step 6: Final answer
    x = 181,000.68

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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.