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Finding the Fourth Proportional to 54,574, 81,861 and 21,765.04

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Solution

The fourth proportional to 54,574, 81,861 and 21,765.04 is: 32,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,574 : 81,861 = 21,765.04 : x
  2. Step 2: Convert to fraction form
    54,574/81,861 = 21,765.04/x
  3. Step 3: Cross multiply
    54,574x = 81,861 × 21,765.04
  4. Step 4: Simplify right side
    54,574x = 1,781,707,939.44
  5. Step 5: Solve for x
    x = 1,781,707,939.44/54,574
  6. Step 6: Final answer
    x = 32,647.56

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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.