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Finding the Fourth Proportional to 140,473.85, 210,568.41 and 50,489.73

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Solution

The fourth proportional to 140,473.85, 210,568.41 and 50,489.73 is: 75,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,473.85 : 210,568.41 = 50,489.73 : x
  2. Step 2: Convert to fraction form
    140,473.85/210,568.41 = 50,489.73/x
  3. Step 3: Cross multiply
    140,473.85x = 210,568.41 × 50,489.73
  4. Step 4: Simplify right side
    140,473.85x = 10,631,542,167.43
  5. Step 5: Solve for x
    x = 10,631,542,167.43/140,473.85
  6. Step 6: Final answer
    x = 75,683.43

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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.