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Finding the Fourth Proportional to 54,023.20, 80,905.20 and 43,655.20

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Solution

The fourth proportional to 54,023.20, 80,905.20 and 43,655.20 is: 65,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,023.20 : 80,905.20 = 43,655.20 : x
  2. Step 2: Convert to fraction form
    54,023.20/80,905.20 = 43,655.20/x
  3. Step 3: Cross multiply
    54,023.20x = 80,905.20 × 43,655.20
  4. Step 4: Simplify right side
    54,023.20x = 3,531,932,687.04
  5. Step 5: Solve for x
    x = 3,531,932,687.04/54,023.20
  6. Step 6: Final answer
    x = 65,378.07

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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.