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Finding the Fourth Proportional to 86,199.89, 129,299.40 and 22,157.96

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Solution

The fourth proportional to 86,199.89, 129,299.40 and 22,157.96 is: 33,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,199.89 : 129,299.40 = 22,157.96 : x
  2. Step 2: Convert to fraction form
    86,199.89/129,299.40 = 22,157.96/x
  3. Step 3: Cross multiply
    86,199.89x = 129,299.40 × 22,157.96
  4. Step 4: Simplify right side
    86,199.89x = 2,865,010,286.73
  5. Step 5: Solve for x
    x = 2,865,010,286.73/86,199.89
  6. Step 6: Final answer
    x = 33,236.82

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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.