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Finding the Fourth Proportional to 54,711.60, 82,009.80 and 21,418.80

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Solution

The fourth proportional to 54,711.60, 82,009.80 and 21,418.80 is: 32,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,711.60 : 82,009.80 = 21,418.80 : x
  2. Step 2: Convert to fraction form
    54,711.60/82,009.80 = 21,418.80/x
  3. Step 3: Cross multiply
    54,711.60x = 82,009.80 × 21,418.80
  4. Step 4: Simplify right side
    54,711.60x = 1,756,551,504.24
  5. Step 5: Solve for x
    x = 1,756,551,504.24/54,711.60
  6. Step 6: Final answer
    x = 32,105.65

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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.