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Finding the Fourth Proportional to 82,191.38, 113,382.32 and 49,917.41

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Solution

The fourth proportional to 82,191.38, 113,382.32 and 49,917.41 is: 68,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,191.38 : 113,382.32 = 49,917.41 : x
  2. Step 2: Convert to fraction form
    82,191.38/113,382.32 = 49,917.41/x
  3. Step 3: Cross multiply
    82,191.38x = 113,382.32 × 49,917.41
  4. Step 4: Simplify right side
    82,191.38x = 5,659,751,788.06
  5. Step 5: Solve for x
    x = 5,659,751,788.06/82,191.38
  6. Step 6: Final answer
    x = 68,860.65

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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.