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Finding the Fourth Proportional to 205,969.80, 309,149.10 and 127,237.80

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Solution

The fourth proportional to 205,969.80, 309,149.10 and 127,237.80 is: 190,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.80 : 309,149.10 = 127,237.80 : x
  2. Step 2: Convert to fraction form
    205,969.80/309,149.10 = 127,237.80/x
  3. Step 3: Cross multiply
    205,969.80x = 309,149.10 × 127,237.80
  4. Step 4: Simplify right side
    205,969.80x = 39,335,451,355.98
  5. Step 5: Solve for x
    x = 39,335,451,355.98/205,969.80
  6. Step 6: Final answer
    x = 190,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.