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Finding the Fourth Proportional to 130,122, 195,183 and 31,626

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Solution

The fourth proportional to 130,122, 195,183 and 31,626 is: 47,439

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,122 : 195,183 = 31,626 : x
  2. Step 2: Convert to fraction form
    130,122/195,183 = 31,626/x
  3. Step 3: Cross multiply
    130,122x = 195,183 × 31,626
  4. Step 4: Simplify right side
    130,122x = 6,172,857,558
  5. Step 5: Solve for x
    x = 6,172,857,558/130,122
  6. Step 6: Final answer
    x = 47,439

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.