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Finding the Fourth Proportional to 95,138.70, 142,714.02 and 31,953.84

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Solution

The fourth proportional to 95,138.70, 142,714.02 and 31,953.84 is: 47,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,138.70 : 142,714.02 = 31,953.84 : x
  2. Step 2: Convert to fraction form
    95,138.70/142,714.02 = 31,953.84/x
  3. Step 3: Cross multiply
    95,138.70x = 142,714.02 × 31,953.84
  4. Step 4: Simplify right side
    95,138.70x = 4,560,260,960.84
  5. Step 5: Solve for x
    x = 4,560,260,960.84/95,138.70
  6. Step 6: Final answer
    x = 47,932.77

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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.