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Finding the Fourth Proportional to 149,817.28, 206,737.44 and 82,744

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Solution

The fourth proportional to 149,817.28, 206,737.44 and 82,744 is: 114,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,817.28 : 206,737.44 = 82,744 : x
  2. Step 2: Convert to fraction form
    149,817.28/206,737.44 = 82,744/x
  3. Step 3: Cross multiply
    149,817.28x = 206,737.44 × 82,744
  4. Step 4: Simplify right side
    149,817.28x = 17,106,282,735.36
  5. Step 5: Solve for x
    x = 17,106,282,735.36/149,817.28
  6. Step 6: Final answer
    x = 114,180.97

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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.