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Finding the Fourth Proportional to 54,129.60, 81,129.60 and 27,820.80

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Solution

The fourth proportional to 54,129.60, 81,129.60 and 27,820.80 is: 41,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129.60 : 81,129.60 = 27,820.80 : x
  2. Step 2: Convert to fraction form
    54,129.60/81,129.60 = 27,820.80/x
  3. Step 3: Cross multiply
    54,129.60x = 81,129.60 × 27,820.80
  4. Step 4: Simplify right side
    54,129.60x = 2,257,090,375.68
  5. Step 5: Solve for x
    x = 2,257,090,375.68/54,129.60
  6. Step 6: Final answer
    x = 41,697.89

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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.