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Finding the Fourth Proportional to 205,991.25, 284,244 and 119,969.03

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Solution

The fourth proportional to 205,991.25, 284,244 and 119,969.03 is: 165,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,991.25 : 284,244 = 119,969.03 : x
  2. Step 2: Convert to fraction form
    205,991.25/284,244 = 119,969.03/x
  3. Step 3: Cross multiply
    205,991.25x = 284,244 × 119,969.03
  4. Step 4: Simplify right side
    205,991.25x = 34,100,475,542.10
  5. Step 5: Solve for x
    x = 34,100,475,542.10/205,991.25
  6. Step 6: Final answer
    x = 165,543.32

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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.