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Finding the Fourth Proportional to 188,949.77, 260,745.42 and 102,906.87

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Solution

The fourth proportional to 188,949.77, 260,745.42 and 102,906.87 is: 142,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,949.77 : 260,745.42 = 102,906.87 : x
  2. Step 2: Convert to fraction form
    188,949.77/260,745.42 = 102,906.87/x
  3. Step 3: Cross multiply
    188,949.77x = 260,745.42 × 102,906.87
  4. Step 4: Simplify right side
    188,949.77x = 26,832,494,447.14
  5. Step 5: Solve for x
    x = 26,832,494,447.14/188,949.77
  6. Step 6: Final answer
    x = 142,008.61

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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.