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Finding the Fourth Proportional to 206,621.55, 309,811.90 and 80,114

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Solution

The fourth proportional to 206,621.55, 309,811.90 and 80,114 is: 120,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,621.55 : 309,811.90 = 80,114 : x
  2. Step 2: Convert to fraction form
    206,621.55/309,811.90 = 80,114/x
  3. Step 3: Cross multiply
    206,621.55x = 309,811.90 × 80,114
  4. Step 4: Simplify right side
    206,621.55x = 24,820,270,356.32
  5. Step 5: Solve for x
    x = 24,820,270,356.32/206,621.55
  6. Step 6: Final answer
    x = 120,124.31

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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.