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Finding the Fourth Proportional to 71,372.13, 107,054.14 and 21,451.22

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Solution

The fourth proportional to 71,372.13, 107,054.14 and 21,451.22 is: 32,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.13 : 107,054.14 = 21,451.22 : x
  2. Step 2: Convert to fraction form
    71,372.13/107,054.14 = 21,451.22/x
  3. Step 3: Cross multiply
    71,372.13x = 107,054.14 × 21,451.22
  4. Step 4: Simplify right side
    71,372.13x = 2,296,441,909.05
  5. Step 5: Solve for x
    x = 2,296,441,909.05/71,372.13
  6. Step 6: Final answer
    x = 32,175.61

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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.