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Finding the Fourth Proportional to 149,297.67, 206,030.79 and 82,229.67

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Solution

The fourth proportional to 149,297.67, 206,030.79 and 82,229.67 is: 113,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,297.67 : 206,030.79 = 82,229.67 : x
  2. Step 2: Convert to fraction form
    149,297.67/206,030.79 = 82,229.67/x
  3. Step 3: Cross multiply
    149,297.67x = 206,030.79 × 82,229.67
  4. Step 4: Simplify right side
    149,297.67x = 16,941,843,871.54
  5. Step 5: Solve for x
    x = 16,941,843,871.54/149,297.67
  6. Step 6: Final answer
    x = 113,476.95

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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.