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Finding the Fourth Proportional to 188,855.86, 283,255.78 and 68,884.68

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Solution

The fourth proportional to 188,855.86, 283,255.78 and 68,884.68 is: 103,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,855.86 : 283,255.78 = 68,884.68 : x
  2. Step 2: Convert to fraction form
    188,855.86/283,255.78 = 68,884.68/x
  3. Step 3: Cross multiply
    188,855.86x = 283,255.78 × 68,884.68
  4. Step 4: Simplify right side
    188,855.86x = 19,511,983,763.45
  5. Step 5: Solve for x
    x = 19,511,983,763.45/188,855.86
  6. Step 6: Final answer
    x = 103,316.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.