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Finding the Fourth Proportional to 188,171.20, 259,679.20 and 103,296

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Solution

The fourth proportional to 188,171.20, 259,679.20 and 103,296 is: 142,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,171.20 : 259,679.20 = 103,296 : x
  2. Step 2: Convert to fraction form
    188,171.20/259,679.20 = 103,296/x
  3. Step 3: Cross multiply
    188,171.20x = 259,679.20 × 103,296
  4. Step 4: Simplify right side
    188,171.20x = 26,823,822,643.20
  5. Step 5: Solve for x
    x = 26,823,822,643.20/188,171.20
  6. Step 6: Final answer
    x = 142,550.10

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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.