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Finding the Fourth Proportional to 71,784.22, 107,691.91 and 21,863.04

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Solution

The fourth proportional to 71,784.22, 107,691.91 and 21,863.04 is: 32,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.22 : 107,691.91 = 21,863.04 : x
  2. Step 2: Convert to fraction form
    71,784.22/107,691.91 = 21,863.04/x
  3. Step 3: Cross multiply
    71,784.22x = 107,691.91 × 21,863.04
  4. Step 4: Simplify right side
    71,784.22x = 2,354,472,536.01
  5. Step 5: Solve for x
    x = 2,354,472,536.01/71,784.22
  6. Step 6: Final answer
    x = 32,799.31

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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.