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Finding the Fourth Proportional to 54,504.70, 81,769.20 and 21,221.80

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Solution

The fourth proportional to 54,504.70, 81,769.20 and 21,221.80 is: 31,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,504.70 : 81,769.20 = 21,221.80 : x
  2. Step 2: Convert to fraction form
    54,504.70/81,769.20 = 21,221.80/x
  3. Step 3: Cross multiply
    54,504.70x = 81,769.20 × 21,221.80
  4. Step 4: Simplify right side
    54,504.70x = 1,735,289,608.56
  5. Step 5: Solve for x
    x = 1,735,289,608.56/54,504.70
  6. Step 6: Final answer
    x = 31,837.43

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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.