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Finding the Fourth Proportional to 54,131.60, 81,132.60 and 27,822.80

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Solution

The fourth proportional to 54,131.60, 81,132.60 and 27,822.80 is: 41,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,131.60 : 81,132.60 = 27,822.80 : x
  2. Step 2: Convert to fraction form
    54,131.60/81,132.60 = 27,822.80/x
  3. Step 3: Cross multiply
    54,131.60x = 81,132.60 × 27,822.80
  4. Step 4: Simplify right side
    54,131.60x = 2,257,336,103.28
  5. Step 5: Solve for x
    x = 2,257,336,103.28/54,131.60
  6. Step 6: Final answer
    x = 41,700.89

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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.