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Finding the Fourth Proportional to 149,369, 206,129.86 and 82,299.56

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Solution

The fourth proportional to 149,369, 206,129.86 and 82,299.56 is: 113,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,369 : 206,129.86 = 82,299.56 : x
  2. Step 2: Convert to fraction form
    149,369/206,129.86 = 82,299.56/x
  3. Step 3: Cross multiply
    149,369x = 206,129.86 × 82,299.56
  4. Step 4: Simplify right side
    149,369x = 16,964,396,780.86
  5. Step 5: Solve for x
    x = 16,964,396,780.86/149,369
  6. Step 6: Final answer
    x = 113,573.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.