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Finding the Fourth Proportional to 234,708.78, 323,898.20 and 127,278.78

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Solution

The fourth proportional to 234,708.78, 323,898.20 and 127,278.78 is: 175,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,708.78 : 323,898.20 = 127,278.78 : x
  2. Step 2: Convert to fraction form
    234,708.78/323,898.20 = 127,278.78/x
  3. Step 3: Cross multiply
    234,708.78x = 323,898.20 × 127,278.78
  4. Step 4: Simplify right side
    234,708.78x = 41,225,367,103.80
  5. Step 5: Solve for x
    x = 41,225,367,103.80/234,708.78
  6. Step 6: Final answer
    x = 175,644.76

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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.