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Finding the Fourth Proportional to 83,768.80, 125,912.40 and 82,213.60

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Solution

The fourth proportional to 83,768.80, 125,912.40 and 82,213.60 is: 123,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.80 : 125,912.40 = 82,213.60 : x
  2. Step 2: Convert to fraction form
    83,768.80/125,912.40 = 82,213.60/x
  3. Step 3: Cross multiply
    83,768.80x = 125,912.40 × 82,213.60
  4. Step 4: Simplify right side
    83,768.80x = 10,351,711,688.64
  5. Step 5: Solve for x
    x = 10,351,711,688.64/83,768.80
  6. Step 6: Final answer
    x = 123,574.79

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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.