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Finding the Fourth Proportional to 54,744.80, 82,117.20 and 21,453.80

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Solution

The fourth proportional to 54,744.80, 82,117.20 and 21,453.80 is: 32,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.80 : 82,117.20 = 21,453.80 : x
  2. Step 2: Convert to fraction form
    54,744.80/82,117.20 = 21,453.80/x
  3. Step 3: Cross multiply
    54,744.80x = 82,117.20 × 21,453.80
  4. Step 4: Simplify right side
    54,744.80x = 1,761,725,985.36
  5. Step 5: Solve for x
    x = 1,761,725,985.36/54,744.80
  6. Step 6: Final answer
    x = 32,180.70

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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.