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Finding the Fourth Proportional to 188,218.67, 259,724.49 and 111,724.70

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Solution

The fourth proportional to 188,218.67, 259,724.49 and 111,724.70 is: 154,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,218.67 : 259,724.49 = 111,724.70 : x
  2. Step 2: Convert to fraction form
    188,218.67/259,724.49 = 111,724.70/x
  3. Step 3: Cross multiply
    188,218.67x = 259,724.49 × 111,724.70
  4. Step 4: Simplify right side
    188,218.67x = 29,017,640,727.90
  5. Step 5: Solve for x
    x = 29,017,640,727.90/188,218.67
  6. Step 6: Final answer
    x = 154,169.83

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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.