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Finding the Fourth Proportional to 80,982.59, 111,683.21 and 50,771.21

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Solution

The fourth proportional to 80,982.59, 111,683.21 and 50,771.21 is: 70,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,982.59 : 111,683.21 = 50,771.21 : x
  2. Step 2: Convert to fraction form
    80,982.59/111,683.21 = 50,771.21/x
  3. Step 3: Cross multiply
    80,982.59x = 111,683.21 × 50,771.21
  4. Step 4: Simplify right side
    80,982.59x = 5,670,290,896.11
  5. Step 5: Solve for x
    x = 5,670,290,896.11/80,982.59
  6. Step 6: Final answer
    x = 70,018.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.