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Finding the Fourth Proportional to 54,871.45, 82,257.90 and 21,614.20

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Solution

The fourth proportional to 54,871.45, 82,257.90 and 21,614.20 is: 32,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.45 : 82,257.90 = 21,614.20 : x
  2. Step 2: Convert to fraction form
    54,871.45/82,257.90 = 21,614.20/x
  3. Step 3: Cross multiply
    54,871.45x = 82,257.90 × 21,614.20
  4. Step 4: Simplify right side
    54,871.45x = 1,777,938,702.18
  5. Step 5: Solve for x
    x = 1,777,938,702.18/54,871.45
  6. Step 6: Final answer
    x = 32,401.89

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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.