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Finding the Fourth Proportional to 217,760.37, 300,517.74 and 120,971.56

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Solution

The fourth proportional to 217,760.37, 300,517.74 and 120,971.56 is: 166,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,760.37 : 300,517.74 = 120,971.56 : x
  2. Step 2: Convert to fraction form
    217,760.37/300,517.74 = 120,971.56/x
  3. Step 3: Cross multiply
    217,760.37x = 300,517.74 × 120,971.56
  4. Step 4: Simplify right side
    217,760.37x = 36,354,099,064.18
  5. Step 5: Solve for x
    x = 36,354,099,064.18/217,760.37
  6. Step 6: Final answer
    x = 166,945.43

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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.