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Finding the Fourth Proportional to 149,350, 206,103 and 82,283.44

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Solution

The fourth proportional to 149,350, 206,103 and 82,283.44 is: 113,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,350 : 206,103 = 82,283.44 : x
  2. Step 2: Convert to fraction form
    149,350/206,103 = 82,283.44/x
  3. Step 3: Cross multiply
    149,350x = 206,103 × 82,283.44
  4. Step 4: Simplify right side
    149,350x = 16,958,863,834.32
  5. Step 5: Solve for x
    x = 16,958,863,834.32/149,350
  6. Step 6: Final answer
    x = 113,551.15

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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.