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Finding the Fourth Proportional to 262,769.16, 394,092.30 and 85,230.60

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Solution

The fourth proportional to 262,769.16, 394,092.30 and 85,230.60 is: 127,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,769.16 : 394,092.30 = 85,230.60 : x
  2. Step 2: Convert to fraction form
    262,769.16/394,092.30 = 85,230.60/x
  3. Step 3: Cross multiply
    262,769.16x = 394,092.30 × 85,230.60
  4. Step 4: Simplify right side
    262,769.16x = 33,588,723,184.38
  5. Step 5: Solve for x
    x = 33,588,723,184.38/262,769.16
  6. Step 6: Final answer
    x = 127,825.97

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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.