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Finding the Fourth Proportional to 231,809.68, 347,768.76 and 71,877.20

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Solution

The fourth proportional to 231,809.68, 347,768.76 and 71,877.20 is: 107,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,809.68 : 347,768.76 = 71,877.20 : x
  2. Step 2: Convert to fraction form
    231,809.68/347,768.76 = 71,877.20/x
  3. Step 3: Cross multiply
    231,809.68x = 347,768.76 × 71,877.20
  4. Step 4: Simplify right side
    231,809.68x = 24,996,644,716.27
  5. Step 5: Solve for x
    x = 24,996,644,716.27/231,809.68
  6. Step 6: Final answer
    x = 107,832.62

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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.