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Finding the Fourth Proportional to 188,103.87, 259,590.83 and 103,223.97

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Solution

The fourth proportional to 188,103.87, 259,590.83 and 103,223.97 is: 142,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,103.87 : 259,590.83 = 103,223.97 : x
  2. Step 2: Convert to fraction form
    188,103.87/259,590.83 = 103,223.97/x
  3. Step 3: Cross multiply
    188,103.87x = 259,590.83 × 103,223.97
  4. Step 4: Simplify right side
    188,103.87x = 26,795,995,532.08
  5. Step 5: Solve for x
    x = 26,795,995,532.08/188,103.87
  6. Step 6: Final answer
    x = 142,453.19

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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.