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Finding the Fourth Proportional to 95,138.42, 142,707.96 and 31,956.73

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Solution

The fourth proportional to 95,138.42, 142,707.96 and 31,956.73 is: 47,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,138.42 : 142,707.96 = 31,956.73 : x
  2. Step 2: Convert to fraction form
    95,138.42/142,707.96 = 31,956.73/x
  3. Step 3: Cross multiply
    95,138.42x = 142,707.96 × 31,956.73
  4. Step 4: Simplify right side
    95,138.42x = 4,560,479,389.80
  5. Step 5: Solve for x
    x = 4,560,479,389.80/95,138.42
  6. Step 6: Final answer
    x = 47,935.20

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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.