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Finding the Fourth Proportional to 231,052.86, 318,842.88 and 129,077.88

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Solution

The fourth proportional to 231,052.86, 318,842.88 and 129,077.88 is: 178,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,052.86 : 318,842.88 = 129,077.88 : x
  2. Step 2: Convert to fraction form
    231,052.86/318,842.88 = 129,077.88/x
  3. Step 3: Cross multiply
    231,052.86x = 318,842.88 × 129,077.88
  4. Step 4: Simplify right side
    231,052.86x = 41,155,563,003.49
  5. Step 5: Solve for x
    x = 41,155,563,003.49/231,052.86
  6. Step 6: Final answer
    x = 178,121.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.