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Finding the Fourth Proportional to 81,843.56, 122,661.24 and 36,816.77

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Solution

The fourth proportional to 81,843.56, 122,661.24 and 36,816.77 is: 55,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.56 : 122,661.24 = 36,816.77 : x
  2. Step 2: Convert to fraction form
    81,843.56/122,661.24 = 36,816.77/x
  3. Step 3: Cross multiply
    81,843.56x = 122,661.24 × 36,816.77
  4. Step 4: Simplify right side
    81,843.56x = 4,515,990,047.69
  5. Step 5: Solve for x
    x = 4,515,990,047.69/81,843.56
  6. Step 6: Final answer
    x = 55,178.32

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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.