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Finding the Fourth Proportional to 69,119.12, 103,737.02 and 47,759.42

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Solution

The fourth proportional to 69,119.12, 103,737.02 and 47,759.42 is: 71,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,119.12 : 103,737.02 = 47,759.42 : x
  2. Step 2: Convert to fraction form
    69,119.12/103,737.02 = 47,759.42/x
  3. Step 3: Cross multiply
    69,119.12x = 103,737.02 × 47,759.42
  4. Step 4: Simplify right side
    69,119.12x = 4,954,419,150.25
  5. Step 5: Solve for x
    x = 4,954,419,150.25/69,119.12
  6. Step 6: Final answer
    x = 71,679.44

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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.