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Finding the Fourth Proportional to 217,021.92, 299,475.73 and 120,219.22

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Solution

The fourth proportional to 217,021.92, 299,475.73 and 120,219.22 is: 165,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,021.92 : 299,475.73 = 120,219.22 : x
  2. Step 2: Convert to fraction form
    217,021.92/299,475.73 = 120,219.22/x
  3. Step 3: Cross multiply
    217,021.92x = 299,475.73 × 120,219.22
  4. Step 4: Simplify right side
    217,021.92x = 36,002,739,194.15
  5. Step 5: Solve for x
    x = 36,002,739,194.15/217,021.92
  6. Step 6: Final answer
    x = 165,894.49

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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.