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Finding the Fourth Proportional to 206,770.40, 285,405.03 and 120,752.59

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Solution

The fourth proportional to 206,770.40, 285,405.03 and 120,752.59 is: 166,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770.40 : 285,405.03 = 120,752.59 : x
  2. Step 2: Convert to fraction form
    206,770.40/285,405.03 = 120,752.59/x
  3. Step 3: Cross multiply
    206,770.40x = 285,405.03 × 120,752.59
  4. Step 4: Simplify right side
    206,770.40x = 34,463,396,571.53
  5. Step 5: Solve for x
    x = 34,463,396,571.53/206,770.40
  6. Step 6: Final answer
    x = 166,674.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.