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Finding the Fourth Proportional to 262,695.42, 394,105.77 and 85,202.82

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Solution

The fourth proportional to 262,695.42, 394,105.77 and 85,202.82 is: 127,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,695.42 : 394,105.77 = 85,202.82 : x
  2. Step 2: Convert to fraction form
    262,695.42/394,105.77 = 85,202.82/x
  3. Step 3: Cross multiply
    262,695.42x = 394,105.77 × 85,202.82
  4. Step 4: Simplify right side
    262,695.42x = 33,578,922,982.27
  5. Step 5: Solve for x
    x = 33,578,922,982.27/262,695.42
  6. Step 6: Final answer
    x = 127,824.55

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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.