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Finding the Fourth Proportional to 86,138.96, 129,221.40 and 30,722

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Solution

The fourth proportional to 86,138.96, 129,221.40 and 30,722 is: 46,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,138.96 : 129,221.40 = 30,722 : x
  2. Step 2: Convert to fraction form
    86,138.96/129,221.40 = 30,722/x
  3. Step 3: Cross multiply
    86,138.96x = 129,221.40 × 30,722
  4. Step 4: Simplify right side
    86,138.96x = 3,969,939,850.80
  5. Step 5: Solve for x
    x = 3,969,939,850.80/86,138.96
  6. Step 6: Final answer
    x = 46,087.62

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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.