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Finding the Fourth Proportional to 66,891.71, 100,352.36 and 22,517

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Solution

The fourth proportional to 66,891.71, 100,352.36 and 22,517 is: 33,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,891.71 : 100,352.36 = 22,517 : x
  2. Step 2: Convert to fraction form
    66,891.71/100,352.36 = 22,517/x
  3. Step 3: Cross multiply
    66,891.71x = 100,352.36 × 22,517
  4. Step 4: Simplify right side
    66,891.71x = 2,259,633,977.54
  5. Step 5: Solve for x
    x = 2,259,633,977.54/66,891.71
  6. Step 6: Final answer
    x = 33,780.48

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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.