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Finding the Fourth Proportional to 231,789.84, 319,858.92 and 142,348.56

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Solution

The fourth proportional to 231,789.84, 319,858.92 and 142,348.56 is: 196,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,789.84 : 319,858.92 = 142,348.56 : x
  2. Step 2: Convert to fraction form
    231,789.84/319,858.92 = 142,348.56/x
  3. Step 3: Cross multiply
    231,789.84x = 319,858.92 × 142,348.56
  4. Step 4: Simplify right side
    231,789.84x = 45,531,456,665.16
  5. Step 5: Solve for x
    x = 45,531,456,665.16/231,789.84
  6. Step 6: Final answer
    x = 196,434.22

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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.