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Finding the Fourth Proportional to 86,500, 129,750 and 20,836

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Solution

The fourth proportional to 86,500, 129,750 and 20,836 is: 31,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,500 : 129,750 = 20,836 : x
  2. Step 2: Convert to fraction form
    86,500/129,750 = 20,836/x
  3. Step 3: Cross multiply
    86,500x = 129,750 × 20,836
  4. Step 4: Simplify right side
    86,500x = 2,703,471,000
  5. Step 5: Solve for x
    x = 2,703,471,000/86,500
  6. Step 6: Final answer
    x = 31,254

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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.