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Finding the Fourth Proportional to 71,147.82, 106,723.65 and 18,556.14

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Solution

The fourth proportional to 71,147.82, 106,723.65 and 18,556.14 is: 27,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.82 : 106,723.65 = 18,556.14 : x
  2. Step 2: Convert to fraction form
    71,147.82/106,723.65 = 18,556.14/x
  3. Step 3: Cross multiply
    71,147.82x = 106,723.65 × 18,556.14
  4. Step 4: Simplify right side
    71,147.82x = 1,980,378,990.71
  5. Step 5: Solve for x
    x = 1,980,378,990.71/71,147.82
  6. Step 6: Final answer
    x = 27,834.71

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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.