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Finding the Fourth Proportional to 149,728.56, 206,625.60 and 82,660.56

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Solution

The fourth proportional to 149,728.56, 206,625.60 and 82,660.56 is: 114,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,728.56 : 206,625.60 = 82,660.56 : x
  2. Step 2: Convert to fraction form
    149,728.56/206,625.60 = 82,660.56/x
  3. Step 3: Cross multiply
    149,728.56x = 206,625.60 × 82,660.56
  4. Step 4: Simplify right side
    149,728.56x = 17,079,787,806.34
  5. Step 5: Solve for x
    x = 17,079,787,806.34/149,728.56
  6. Step 6: Final answer
    x = 114,071.68

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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.