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Finding the Fourth Proportional to 54,286.44, 81,409.64 and 18,738.71

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Solution

The fourth proportional to 54,286.44, 81,409.64 and 18,738.71 is: 28,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286.44 : 81,409.64 = 18,738.71 : x
  2. Step 2: Convert to fraction form
    54,286.44/81,409.64 = 18,738.71/x
  3. Step 3: Cross multiply
    54,286.44x = 81,409.64 × 18,738.71
  4. Step 4: Simplify right side
    54,286.44x = 1,525,511,545.11
  5. Step 5: Solve for x
    x = 1,525,511,545.11/54,286.44
  6. Step 6: Final answer
    x = 28,101.15

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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.