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Finding the Fourth Proportional to 215,956.50, 298,020.24 and 120,469.29

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Solution

The fourth proportional to 215,956.50, 298,020.24 and 120,469.29 is: 166,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,956.50 : 298,020.24 = 120,469.29 : x
  2. Step 2: Convert to fraction form
    215,956.50/298,020.24 = 120,469.29/x
  3. Step 3: Cross multiply
    215,956.50x = 298,020.24 × 120,469.29
  4. Step 4: Simplify right side
    215,956.50x = 35,902,286,718.43
  5. Step 5: Solve for x
    x = 35,902,286,718.43/215,956.50
  6. Step 6: Final answer
    x = 166,247.77

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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.