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Finding the Fourth Proportional to 87,197, 130,815 and 31,793

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Solution

The fourth proportional to 87,197, 130,815 and 31,793 is: 47,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,197 : 130,815 = 31,793 : x
  2. Step 2: Convert to fraction form
    87,197/130,815 = 31,793/x
  3. Step 3: Cross multiply
    87,197x = 130,815 × 31,793
  4. Step 4: Simplify right side
    87,197x = 4,159,001,295
  5. Step 5: Solve for x
    x = 4,159,001,295/87,197
  6. Step 6: Final answer
    x = 47,696.61

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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.