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Finding the Fourth Proportional to 68,744, 103,122 and 19,496

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Solution

The fourth proportional to 68,744, 103,122 and 19,496 is: 29,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,744 : 103,122 = 19,496 : x
  2. Step 2: Convert to fraction form
    68,744/103,122 = 19,496/x
  3. Step 3: Cross multiply
    68,744x = 103,122 × 19,496
  4. Step 4: Simplify right side
    68,744x = 2,010,466,512
  5. Step 5: Solve for x
    x = 2,010,466,512/68,744
  6. Step 6: Final answer
    x = 29,245.70

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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.