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Finding the Fourth Proportional to 54,703.35, 82,080.54 and 21,414.78

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Solution

The fourth proportional to 54,703.35, 82,080.54 and 21,414.78 is: 32,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.35 : 82,080.54 = 21,414.78 : x
  2. Step 2: Convert to fraction form
    54,703.35/82,080.54 = 21,414.78/x
  3. Step 3: Cross multiply
    54,703.35x = 82,080.54 × 21,414.78
  4. Step 4: Simplify right side
    54,703.35x = 1,757,736,706.38
  5. Step 5: Solve for x
    x = 1,757,736,706.38/54,703.35
  6. Step 6: Final answer
    x = 32,132.16

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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.