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Finding the Fourth Proportional to 231,053.86, 318,844.26 and 129,078.88

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Solution

The fourth proportional to 231,053.86, 318,844.26 and 129,078.88 is: 178,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,053.86 : 318,844.26 = 129,078.88 : x
  2. Step 2: Convert to fraction form
    231,053.86/318,844.26 = 129,078.88/x
  3. Step 3: Cross multiply
    231,053.86x = 318,844.26 × 129,078.88
  4. Step 4: Simplify right side
    231,053.86x = 41,156,059,975.23
  5. Step 5: Solve for x
    x = 41,156,059,975.23/231,053.86
  6. Step 6: Final answer
    x = 178,123.23

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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.