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Finding the Fourth Proportional to 262,732.26, 394,061.34 and 85,240.82

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Solution

The fourth proportional to 262,732.26, 394,061.34 and 85,240.82 is: 127,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,732.26 : 394,061.34 = 85,240.82 : x
  2. Step 2: Convert to fraction form
    262,732.26/394,061.34 = 85,240.82/x
  3. Step 3: Cross multiply
    262,732.26x = 394,061.34 × 85,240.82
  4. Step 4: Simplify right side
    262,732.26x = 33,590,111,751.90
  5. Step 5: Solve for x
    x = 33,590,111,751.90/262,732.26
  6. Step 6: Final answer
    x = 127,849.21

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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.