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Finding the Fourth Proportional to 217,760.62, 300,518.09 and 120,971.81

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Solution

The fourth proportional to 217,760.62, 300,518.09 and 120,971.81 is: 166,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,760.62 : 300,518.09 = 120,971.81 : x
  2. Step 2: Convert to fraction form
    217,760.62/300,518.09 = 120,971.81/x
  3. Step 3: Cross multiply
    217,760.62x = 300,518.09 × 120,971.81
  4. Step 4: Simplify right side
    217,760.62x = 36,354,217,285.04
  5. Step 5: Solve for x
    x = 36,354,217,285.04/217,760.62
  6. Step 6: Final answer
    x = 166,945.78

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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.