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Finding the Fourth Proportional to 262,704.80, 394,119.83 and 85,212.20

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Solution

The fourth proportional to 262,704.80, 394,119.83 and 85,212.20 is: 127,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,704.80 : 394,119.83 = 85,212.20 : x
  2. Step 2: Convert to fraction form
    262,704.80/394,119.83 = 85,212.20/x
  3. Step 3: Cross multiply
    262,704.80x = 394,119.83 × 85,212.20
  4. Step 4: Simplify right side
    262,704.80x = 33,583,816,020.36
  5. Step 5: Solve for x
    x = 33,583,816,020.36/262,704.80
  6. Step 6: Final answer
    x = 127,838.61

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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.