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Finding the Fourth Proportional to 139,843.70, 192,908.49 and 83,244.14

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Solution

The fourth proportional to 139,843.70, 192,908.49 and 83,244.14 is: 114,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,843.70 : 192,908.49 = 83,244.14 : x
  2. Step 2: Convert to fraction form
    139,843.70/192,908.49 = 83,244.14/x
  3. Step 3: Cross multiply
    139,843.70x = 192,908.49 × 83,244.14
  4. Step 4: Simplify right side
    139,843.70x = 16,058,501,348.75
  5. Step 5: Solve for x
    x = 16,058,501,348.75/139,843.70
  6. Step 6: Final answer
    x = 114,831.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.