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Finding the Fourth Proportional to 138,843.67, 191,600.41 and 82,255.04

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Solution

The fourth proportional to 138,843.67, 191,600.41 and 82,255.04 is: 113,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,843.67 : 191,600.41 = 82,255.04 : x
  2. Step 2: Convert to fraction form
    138,843.67/191,600.41 = 82,255.04/x
  3. Step 3: Cross multiply
    138,843.67x = 191,600.41 × 82,255.04
  4. Step 4: Simplify right side
    138,843.67x = 15,760,100,406.75
  5. Step 5: Solve for x
    x = 15,760,100,406.75/138,843.67
  6. Step 6: Final answer
    x = 113,509.68

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1.5x scale

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.