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Finding the Fourth Proportional to 54,738.30, 82,046.70 and 21,447.30

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Solution

The fourth proportional to 54,738.30, 82,046.70 and 21,447.30 is: 32,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738.30 : 82,046.70 = 21,447.30 : x
  2. Step 2: Convert to fraction form
    54,738.30/82,046.70 = 21,447.30/x
  3. Step 3: Cross multiply
    54,738.30x = 82,046.70 × 21,447.30
  4. Step 4: Simplify right side
    54,738.30x = 1,759,680,188.91
  5. Step 5: Solve for x
    x = 1,759,680,188.91/54,738.30
  6. Step 6: Final answer
    x = 32,147.15

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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.