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Finding the Fourth Proportional to 54,002.52, 81,023.22 and 18,947.64

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Solution

The fourth proportional to 54,002.52, 81,023.22 and 18,947.64 is: 28,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002.52 : 81,023.22 = 18,947.64 : x
  2. Step 2: Convert to fraction form
    54,002.52/81,023.22 = 18,947.64/x
  3. Step 3: Cross multiply
    54,002.52x = 81,023.22 × 18,947.64
  4. Step 4: Simplify right side
    54,002.52x = 1,535,198,804.20
  5. Step 5: Solve for x
    x = 1,535,198,804.20/54,002.52
  6. Step 6: Final answer
    x = 28,428.28

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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.