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Finding the Fourth Proportional to 188,256.75, 259,796.13 and 103,375.65

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Solution

The fourth proportional to 188,256.75, 259,796.13 and 103,375.65 is: 142,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,256.75 : 259,796.13 = 103,375.65 : x
  2. Step 2: Convert to fraction form
    188,256.75/259,796.13 = 103,375.65/x
  3. Step 3: Cross multiply
    188,256.75x = 259,796.13 × 103,375.65
  4. Step 4: Simplify right side
    188,256.75x = 26,856,593,806.23
  5. Step 5: Solve for x
    x = 26,856,593,806.23/188,256.75
  6. Step 6: Final answer
    x = 142,659.39

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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.