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Finding the Fourth Proportional to 231,286.52, 319,187.59 and 140,627.48

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Solution

The fourth proportional to 231,286.52, 319,187.59 and 140,627.48 is: 194,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,286.52 : 319,187.59 = 140,627.48 : x
  2. Step 2: Convert to fraction form
    231,286.52/319,187.59 = 140,627.48/x
  3. Step 3: Cross multiply
    231,286.52x = 319,187.59 × 140,627.48
  4. Step 4: Simplify right side
    231,286.52x = 44,886,544,481.47
  5. Step 5: Solve for x
    x = 44,886,544,481.47/231,286.52
  6. Step 6: Final answer
    x = 194,073.33

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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.