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Finding the Fourth Proportional to 81,722.44, 122,568.94 and 22,543.44

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Solution

The fourth proportional to 81,722.44, 122,568.94 and 22,543.44 is: 33,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.44 : 122,568.94 = 22,543.44 : x
  2. Step 2: Convert to fraction form
    81,722.44/122,568.94 = 22,543.44/x
  3. Step 3: Cross multiply
    81,722.44x = 122,568.94 × 22,543.44
  4. Step 4: Simplify right side
    81,722.44x = 2,763,125,544.75
  5. Step 5: Solve for x
    x = 2,763,125,544.75/81,722.44
  6. Step 6: Final answer
    x = 33,811.10

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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.