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Finding the Fourth Proportional to 71,956.68, 107,942.82 and 27,621

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Solution

The fourth proportional to 71,956.68, 107,942.82 and 27,621 is: 41,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,956.68 : 107,942.82 = 27,621 : x
  2. Step 2: Convert to fraction form
    71,956.68/107,942.82 = 27,621/x
  3. Step 3: Cross multiply
    71,956.68x = 107,942.82 × 27,621
  4. Step 4: Simplify right side
    71,956.68x = 2,981,488,631.22
  5. Step 5: Solve for x
    x = 2,981,488,631.22/71,956.68
  6. Step 6: Final answer
    x = 41,434.49

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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.