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Finding the Fourth Proportional to 111,906.83, 167,843.68 and 40,812.80

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Solution

The fourth proportional to 111,906.83, 167,843.68 and 40,812.80 is: 61,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,906.83 : 167,843.68 = 40,812.80 : x
  2. Step 2: Convert to fraction form
    111,906.83/167,843.68 = 40,812.80/x
  3. Step 3: Cross multiply
    111,906.83x = 167,843.68 × 40,812.80
  4. Step 4: Simplify right side
    111,906.83x = 6,850,169,601.85
  5. Step 5: Solve for x
    x = 6,850,169,601.85/111,906.83
  6. Step 6: Final answer
    x = 61,213.15

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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.