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Finding the Fourth Proportional to 217,523.27, 300,177.60 and 120,721.51

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Solution

The fourth proportional to 217,523.27, 300,177.60 and 120,721.51 is: 166,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,523.27 : 300,177.60 = 120,721.51 : x
  2. Step 2: Convert to fraction form
    217,523.27/300,177.60 = 120,721.51/x
  3. Step 3: Cross multiply
    217,523.27x = 300,177.60 × 120,721.51
  4. Step 4: Simplify right side
    217,523.27x = 36,237,891,786.12
  5. Step 5: Solve for x
    x = 36,237,891,786.12/217,523.27
  6. Step 6: Final answer
    x = 166,593.17

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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.