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Finding the Fourth Proportional to 54,874.83, 82,255.75 and 21,581.40

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Solution

The fourth proportional to 54,874.83, 82,255.75 and 21,581.40 is: 32,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.83 : 82,255.75 = 21,581.40 : x
  2. Step 2: Convert to fraction form
    54,874.83/82,255.75 = 21,581.40/x
  3. Step 3: Cross multiply
    54,874.83x = 82,255.75 × 21,581.40
  4. Step 4: Simplify right side
    54,874.83x = 1,775,194,189.10
  5. Step 5: Solve for x
    x = 1,775,194,189.10/54,874.83
  6. Step 6: Final answer
    x = 32,349.88

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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.