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Finding the Fourth Proportional to 231,820.80, 347,781.60 and 132,028.80

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Solution

The fourth proportional to 231,820.80, 347,781.60 and 132,028.80 is: 198,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,820.80 : 347,781.60 = 132,028.80 : x
  2. Step 2: Convert to fraction form
    231,820.80/347,781.60 = 132,028.80/x
  3. Step 3: Cross multiply
    231,820.80x = 347,781.60 × 132,028.80
  4. Step 4: Simplify right side
    231,820.80x = 45,917,187,310.08
  5. Step 5: Solve for x
    x = 45,917,187,310.08/231,820.80
  6. Step 6: Final answer
    x = 198,071.90

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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.