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Finding the Fourth Proportional to 54,758.30, 82,138.10 and 21,494.03

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Solution

The fourth proportional to 54,758.30, 82,138.10 and 21,494.03 is: 32,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.30 : 82,138.10 = 21,494.03 : x
  2. Step 2: Convert to fraction form
    54,758.30/82,138.10 = 21,494.03/x
  3. Step 3: Cross multiply
    54,758.30x = 82,138.10 × 21,494.03
  4. Step 4: Simplify right side
    54,758.30x = 1,765,478,267.38
  5. Step 5: Solve for x
    x = 1,765,478,267.38/54,758.30
  6. Step 6: Final answer
    x = 32,241.29

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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.