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Finding the Fourth Proportional to 188,375.44, 259,972.56 and 107,828.22

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Solution

The fourth proportional to 188,375.44, 259,972.56 and 107,828.22 is: 148,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,375.44 : 259,972.56 = 107,828.22 : x
  2. Step 2: Convert to fraction form
    188,375.44/259,972.56 = 107,828.22/x
  3. Step 3: Cross multiply
    188,375.44x = 259,972.56 × 107,828.22
  4. Step 4: Simplify right side
    188,375.44x = 28,032,378,393.64
  5. Step 5: Solve for x
    x = 28,032,378,393.64/188,375.44
  6. Step 6: Final answer
    x = 148,811.22

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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.