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Finding the Fourth Proportional to 75,115.80, 103,659.80 and 41,581.80

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Solution

The fourth proportional to 75,115.80, 103,659.80 and 41,581.80 is: 57,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.80 : 103,659.80 = 41,581.80 : x
  2. Step 2: Convert to fraction form
    75,115.80/103,659.80 = 41,581.80/x
  3. Step 3: Cross multiply
    75,115.80x = 103,659.80 × 41,581.80
  4. Step 4: Simplify right side
    75,115.80x = 4,310,361,071.64
  5. Step 5: Solve for x
    x = 4,310,361,071.64/75,115.80
  6. Step 6: Final answer
    x = 57,382.88

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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.