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Finding the Fourth Proportional to 149,912, 206,879.12 and 82,844

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Solution

The fourth proportional to 149,912, 206,879.12 and 82,844 is: 114,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,912 : 206,879.12 = 82,844 : x
  2. Step 2: Convert to fraction form
    149,912/206,879.12 = 82,844/x
  3. Step 3: Cross multiply
    149,912x = 206,879.12 × 82,844
  4. Step 4: Simplify right side
    149,912x = 17,138,693,817.28
  5. Step 5: Solve for x
    x = 17,138,693,817.28/149,912
  6. Step 6: Final answer
    x = 114,325.03

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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.