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Finding the Fourth Proportional to 100,705.67, 150,766.90 and 75,850.41

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Solution

The fourth proportional to 100,705.67, 150,766.90 and 75,850.41 is: 113,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.67 : 150,766.90 = 75,850.41 : x
  2. Step 2: Convert to fraction form
    100,705.67/150,766.90 = 75,850.41/x
  3. Step 3: Cross multiply
    100,705.67x = 150,766.90 × 75,850.41
  4. Step 4: Simplify right side
    100,705.67x = 11,435,731,179.43
  5. Step 5: Solve for x
    x = 11,435,731,179.43/100,705.67
  6. Step 6: Final answer
    x = 113,555.98

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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.