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Finding the Fourth Proportional to 81,409.57, 122,104.64 and 22,250.41

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Solution

The fourth proportional to 81,409.57, 122,104.64 and 22,250.41 is: 33,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.57 : 122,104.64 = 22,250.41 : x
  2. Step 2: Convert to fraction form
    81,409.57/122,104.64 = 22,250.41/x
  3. Step 3: Cross multiply
    81,409.57x = 122,104.64 × 22,250.41
  4. Step 4: Simplify right side
    81,409.57x = 2,716,878,191.65
  5. Step 5: Solve for x
    x = 2,716,878,191.65/81,409.57
  6. Step 6: Final answer
    x = 33,372.96

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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.