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Finding the Fourth Proportional to 188,196.80, 259,711.84 and 102,155.73

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Solution

The fourth proportional to 188,196.80, 259,711.84 and 102,155.73 is: 140,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,196.80 : 259,711.84 = 102,155.73 : x
  2. Step 2: Convert to fraction form
    188,196.80/259,711.84 = 102,155.73/x
  3. Step 3: Cross multiply
    188,196.80x = 259,711.84 × 102,155.73
  4. Step 4: Simplify right side
    188,196.80x = 26,531,052,604.84
  5. Step 5: Solve for x
    x = 26,531,052,604.84/188,196.80
  6. Step 6: Final answer
    x = 140,975.05

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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.