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Finding the Fourth Proportional to 149,299.06, 206,032.71 and 82,231.06

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Solution

The fourth proportional to 149,299.06, 206,032.71 and 82,231.06 is: 113,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,299.06 : 206,032.71 = 82,231.06 : x
  2. Step 2: Convert to fraction form
    149,299.06/206,032.71 = 82,231.06/x
  3. Step 3: Cross multiply
    149,299.06x = 206,032.71 × 82,231.06
  4. Step 4: Simplify right side
    149,299.06x = 16,942,288,137.97
  5. Step 5: Solve for x
    x = 16,942,288,137.97/149,299.06
  6. Step 6: Final answer
    x = 113,478.87

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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.