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Finding the Fourth Proportional to 69,322.26, 103,990.68 and 22,578.78

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Solution

The fourth proportional to 69,322.26, 103,990.68 and 22,578.78 is: 33,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.26 : 103,990.68 = 22,578.78 : x
  2. Step 2: Convert to fraction form
    69,322.26/103,990.68 = 22,578.78/x
  3. Step 3: Cross multiply
    69,322.26x = 103,990.68 × 22,578.78
  4. Step 4: Simplify right side
    69,322.26x = 2,347,982,685.77
  5. Step 5: Solve for x
    x = 2,347,982,685.77/69,322.26
  6. Step 6: Final answer
    x = 33,870.54

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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.