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Finding the Fourth Proportional to 206,783.23, 310,173.71 and 80,511.32

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Solution

The fourth proportional to 206,783.23, 310,173.71 and 80,511.32 is: 120,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,783.23 : 310,173.71 = 80,511.32 : x
  2. Step 2: Convert to fraction form
    206,783.23/310,173.71 = 80,511.32/x
  3. Step 3: Cross multiply
    206,783.23x = 310,173.71 × 80,511.32
  4. Step 4: Simplify right side
    206,783.23x = 24,972,493,449.55
  5. Step 5: Solve for x
    x = 24,972,493,449.55/206,783.23
  6. Step 6: Final answer
    x = 120,766.53

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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.