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Finding the Fourth Proportional to 75,115.77, 103,659.78 and 41,581.77

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Solution

The fourth proportional to 75,115.77, 103,659.78 and 41,581.77 is: 57,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.77 : 103,659.78 = 41,581.77 : x
  2. Step 2: Convert to fraction form
    75,115.77/103,659.78 = 41,581.77/x
  3. Step 3: Cross multiply
    75,115.77x = 103,659.78 × 41,581.77
  4. Step 4: Simplify right side
    75,115.77x = 4,310,357,130.21
  5. Step 5: Solve for x
    x = 4,310,357,130.21/75,115.77
  6. Step 6: Final answer
    x = 57,382.85

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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.