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Finding the Fourth Proportional to 193,709.20, 290,517.54 and 81,391.54

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Solution

The fourth proportional to 193,709.20, 290,517.54 and 81,391.54 is: 122,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,709.20 : 290,517.54 = 81,391.54 : x
  2. Step 2: Convert to fraction form
    193,709.20/290,517.54 = 81,391.54/x
  3. Step 3: Cross multiply
    193,709.20x = 290,517.54 × 81,391.54
  4. Step 4: Simplify right side
    193,709.20x = 23,645,669,977.61
  5. Step 5: Solve for x
    x = 23,645,669,977.61/193,709.20
  6. Step 6: Final answer
    x = 122,067.87

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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.