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Finding the Fourth Proportional to 217,022.92, 299,477.11 and 120,220.22

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Solution

The fourth proportional to 217,022.92, 299,477.11 and 120,220.22 is: 165,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,022.92 : 299,477.11 = 120,220.22 : x
  2. Step 2: Convert to fraction form
    217,022.92/299,477.11 = 120,220.22/x
  3. Step 3: Cross multiply
    217,022.92x = 299,477.11 × 120,220.22
  4. Step 4: Simplify right side
    217,022.92x = 36,003,204,049.16
  5. Step 5: Solve for x
    x = 36,003,204,049.16/217,022.92
  6. Step 6: Final answer
    x = 165,895.86

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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.