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Finding the Fourth Proportional to 206,783.35, 310,173.88 and 80,511.44

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Solution

The fourth proportional to 206,783.35, 310,173.88 and 80,511.44 is: 120,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,783.35 : 310,173.88 = 80,511.44 : x
  2. Step 2: Convert to fraction form
    206,783.35/310,173.88 = 80,511.44/x
  3. Step 3: Cross multiply
    206,783.35x = 310,173.88 × 80,511.44
  4. Step 4: Simplify right side
    206,783.35x = 24,972,543,977.04
  5. Step 5: Solve for x
    x = 24,972,543,977.04/206,783.35
  6. Step 6: Final answer
    x = 120,766.71

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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.