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Finding the Fourth Proportional to 54,548.40, 81,806.40 and 21,249.30

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Solution

The fourth proportional to 54,548.40, 81,806.40 and 21,249.30 is: 31,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.40 : 81,806.40 = 21,249.30 : x
  2. Step 2: Convert to fraction form
    54,548.40/81,806.40 = 21,249.30/x
  3. Step 3: Cross multiply
    54,548.40x = 81,806.40 × 21,249.30
  4. Step 4: Simplify right side
    54,548.40x = 1,738,328,735.52
  5. Step 5: Solve for x
    x = 1,738,328,735.52/54,548.40
  6. Step 6: Final answer
    x = 31,867.64

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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.