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Finding the Fourth Proportional to 71,787.17, 107,676.83 and 21,863.09

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Solution

The fourth proportional to 71,787.17, 107,676.83 and 21,863.09 is: 32,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,787.17 : 107,676.83 = 21,863.09 : x
  2. Step 2: Convert to fraction form
    71,787.17/107,676.83 = 21,863.09/x
  3. Step 3: Cross multiply
    71,787.17x = 107,676.83 × 21,863.09
  4. Step 4: Simplify right side
    71,787.17x = 2,354,148,215.47
  5. Step 5: Solve for x
    x = 2,354,148,215.47/71,787.17
  6. Step 6: Final answer
    x = 32,793.44

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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.