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Finding the Fourth Proportional to 82,147.84, 113,340.89 and 54,963.90

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Solution

The fourth proportional to 82,147.84, 113,340.89 and 54,963.90 is: 75,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.84 : 113,340.89 = 54,963.90 : x
  2. Step 2: Convert to fraction form
    82,147.84/113,340.89 = 54,963.90/x
  3. Step 3: Cross multiply
    82,147.84x = 113,340.89 × 54,963.90
  4. Step 4: Simplify right side
    82,147.84x = 6,229,657,481.28
  5. Step 5: Solve for x
    x = 6,229,657,481.28/82,147.84
  6. Step 6: Final answer
    x = 75,834.71

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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.