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Finding the Fourth Proportional to 206,347.37, 309,590.29 and 79,991.74

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Solution

The fourth proportional to 206,347.37, 309,590.29 and 79,991.74 is: 120,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.37 : 309,590.29 = 79,991.74 : x
  2. Step 2: Convert to fraction form
    206,347.37/309,590.29 = 79,991.74/x
  3. Step 3: Cross multiply
    206,347.37x = 309,590.29 × 79,991.74
  4. Step 4: Simplify right side
    206,347.37x = 24,764,664,436.25
  5. Step 5: Solve for x
    x = 24,764,664,436.25/206,347.37
  6. Step 6: Final answer
    x = 120,014.44

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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.