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Finding the Fourth Proportional to 85,057.68, 127,604.97 and 25,891.81

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Solution

The fourth proportional to 85,057.68, 127,604.97 and 25,891.81 is: 38,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,057.68 : 127,604.97 = 25,891.81 : x
  2. Step 2: Convert to fraction form
    85,057.68/127,604.97 = 25,891.81/x
  3. Step 3: Cross multiply
    85,057.68x = 127,604.97 × 25,891.81
  4. Step 4: Simplify right side
    85,057.68x = 3,303,923,638.30
  5. Step 5: Solve for x
    x = 3,303,923,638.30/85,057.68
  6. Step 6: Final answer
    x = 38,843.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.