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Finding the Fourth Proportional to 45,859.67, 68,789.76 and 20,882.31

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Solution

The fourth proportional to 45,859.67, 68,789.76 and 20,882.31 is: 31,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,859.67 : 68,789.76 = 20,882.31 : x
  2. Step 2: Convert to fraction form
    45,859.67/68,789.76 = 20,882.31/x
  3. Step 3: Cross multiply
    45,859.67x = 68,789.76 × 20,882.31
  4. Step 4: Simplify right side
    45,859.67x = 1,436,488,756.88
  5. Step 5: Solve for x
    x = 1,436,488,756.88/45,859.67
  6. Step 6: Final answer
    x = 31,323.57

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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.