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Finding the Fourth Proportional to 71,714.51, 107,571.74 and 21,794.43

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Solution

The fourth proportional to 71,714.51, 107,571.74 and 21,794.43 is: 32,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.51 : 107,571.74 = 21,794.43 : x
  2. Step 2: Convert to fraction form
    71,714.51/107,571.74 = 21,794.43/x
  3. Step 3: Cross multiply
    71,714.51x = 107,571.74 × 21,794.43
  4. Step 4: Simplify right side
    71,714.51x = 2,344,464,648.44
  5. Step 5: Solve for x
    x = 2,344,464,648.44/71,714.51
  6. Step 6: Final answer
    x = 32,691.64

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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.