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Finding the Fourth Proportional to 193,575.29, 290,348.56 and 81,250.97

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Solution

The fourth proportional to 193,575.29, 290,348.56 and 81,250.97 is: 121,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,575.29 : 290,348.56 = 81,250.97 : x
  2. Step 2: Convert to fraction form
    193,575.29/290,348.56 = 81,250.97/x
  3. Step 3: Cross multiply
    193,575.29x = 290,348.56 × 81,250.97
  4. Step 4: Simplify right side
    193,575.29x = 23,591,100,787.92
  5. Step 5: Solve for x
    x = 23,591,100,787.92/193,575.29
  6. Step 6: Final answer
    x = 121,870.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.