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Finding the Fourth Proportional to 217,544.54, 300,242.70 and 120,770.60

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Solution

The fourth proportional to 217,544.54, 300,242.70 and 120,770.60 is: 166,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,544.54 : 300,242.70 = 120,770.60 : x
  2. Step 2: Convert to fraction form
    217,544.54/300,242.70 = 120,770.60/x
  3. Step 3: Cross multiply
    217,544.54x = 300,242.70 × 120,770.60
  4. Step 4: Simplify right side
    217,544.54x = 36,260,489,523.41
  5. Step 5: Solve for x
    x = 36,260,489,523.41/217,544.54
  6. Step 6: Final answer
    x = 166,680.77

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1.5x scale

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.