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Finding the Fourth Proportional to 188,197.80, 259,713.22 and 102,156.73

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Solution

The fourth proportional to 188,197.80, 259,713.22 and 102,156.73 is: 140,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,197.80 : 259,713.22 = 102,156.73 : x
  2. Step 2: Convert to fraction form
    188,197.80/259,713.22 = 102,156.73/x
  3. Step 3: Cross multiply
    188,197.80x = 259,713.22 × 102,156.73
  4. Step 4: Simplify right side
    188,197.80x = 26,531,453,292.97
  5. Step 5: Solve for x
    x = 26,531,453,292.97/188,197.80
  6. Step 6: Final answer
    x = 140,976.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.