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Finding the Fourth Proportional to 87,825, 121,198.50 and 48,081

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Solution

The fourth proportional to 87,825, 121,198.50 and 48,081 is: 66,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,825 : 121,198.50 = 48,081 : x
  2. Step 2: Convert to fraction form
    87,825/121,198.50 = 48,081/x
  3. Step 3: Cross multiply
    87,825x = 121,198.50 × 48,081
  4. Step 4: Simplify right side
    87,825x = 5,827,345,078.50
  5. Step 5: Solve for x
    x = 5,827,345,078.50/87,825
  6. Step 6: Final answer
    x = 66,351.78

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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.