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Finding the Fourth Proportional to 69,321.89, 103,990.13 and 22,578.41

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Solution

The fourth proportional to 69,321.89, 103,990.13 and 22,578.41 is: 33,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,321.89 : 103,990.13 = 22,578.41 : x
  2. Step 2: Convert to fraction form
    69,321.89/103,990.13 = 22,578.41/x
  3. Step 3: Cross multiply
    69,321.89x = 103,990.13 × 22,578.41
  4. Step 4: Simplify right side
    69,321.89x = 2,347,931,158.25
  5. Step 5: Solve for x
    x = 2,347,931,158.25/69,321.89
  6. Step 6: Final answer
    x = 33,869.98

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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.