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Finding the Fourth Proportional to 86,474, 129,711 and 20,810

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Solution

The fourth proportional to 86,474, 129,711 and 20,810 is: 31,215

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,474 : 129,711 = 20,810 : x
  2. Step 2: Convert to fraction form
    86,474/129,711 = 20,810/x
  3. Step 3: Cross multiply
    86,474x = 129,711 × 20,810
  4. Step 4: Simplify right side
    86,474x = 2,699,285,910
  5. Step 5: Solve for x
    x = 2,699,285,910/86,474
  6. Step 6: Final answer
    x = 31,215

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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.