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Finding the Fourth Proportional to 262,734.73, 394,157.45 and 85,227.88

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Solution

The fourth proportional to 262,734.73, 394,157.45 and 85,227.88 is: 127,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,734.73 : 394,157.45 = 85,227.88 : x
  2. Step 2: Convert to fraction form
    262,734.73/394,157.45 = 85,227.88/x
  3. Step 3: Cross multiply
    262,734.73x = 394,157.45 × 85,227.88
  4. Step 4: Simplify right side
    262,734.73x = 33,593,203,423.57
  5. Step 5: Solve for x
    x = 33,593,203,423.57/262,734.73
  6. Step 6: Final answer
    x = 127,859.77

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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.