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Finding the Fourth Proportional to 82,387.92, 113,686.92 and 50,558.16

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Solution

The fourth proportional to 82,387.92, 113,686.92 and 50,558.16 is: 69,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,387.92 : 113,686.92 = 50,558.16 : x
  2. Step 2: Convert to fraction form
    82,387.92/113,686.92 = 50,558.16/x
  3. Step 3: Cross multiply
    82,387.92x = 113,686.92 × 50,558.16
  4. Step 4: Simplify right side
    82,387.92x = 5,747,801,491.27
  5. Step 5: Solve for x
    x = 5,747,801,491.27/82,387.92
  6. Step 6: Final answer
    x = 69,765.10

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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.