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Finding the Fourth Proportional to 262,716.26, 394,129.79 and 85,209.48

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Solution

The fourth proportional to 262,716.26, 394,129.79 and 85,209.48 is: 127,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,716.26 : 394,129.79 = 85,209.48 : x
  2. Step 2: Convert to fraction form
    262,716.26/394,129.79 = 85,209.48/x
  3. Step 3: Cross multiply
    262,716.26x = 394,129.79 × 85,209.48
  4. Step 4: Simplify right side
    262,716.26x = 33,583,594,351.90
  5. Step 5: Solve for x
    x = 33,583,594,351.90/262,716.26
  6. Step 6: Final answer
    x = 127,832.19

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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.