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Finding the Fourth Proportional to 262,831.70, 394,105.50 and 82,883.18

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Solution

The fourth proportional to 262,831.70, 394,105.50 and 82,883.18 is: 124,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,831.70 : 394,105.50 = 82,883.18 : x
  2. Step 2: Convert to fraction form
    262,831.70/394,105.50 = 82,883.18/x
  3. Step 3: Cross multiply
    262,831.70x = 394,105.50 × 82,883.18
  4. Step 4: Simplify right side
    262,831.70x = 32,664,717,095.49
  5. Step 5: Solve for x
    x = 32,664,717,095.49/262,831.70
  6. Step 6: Final answer
    x = 124,279.97

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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.