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Finding the Fourth Proportional to 36,138.82, 54,129.28 and 15,014.82

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Solution

The fourth proportional to 36,138.82, 54,129.28 and 15,014.82 is: 22,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.82 : 54,129.28 = 15,014.82 : x
  2. Step 2: Convert to fraction form
    36,138.82/54,129.28 = 15,014.82/x
  3. Step 3: Cross multiply
    36,138.82x = 54,129.28 × 15,014.82
  4. Step 4: Simplify right side
    36,138.82x = 812,741,395.93
  5. Step 5: Solve for x
    x = 812,741,395.93/36,138.82
  6. Step 6: Final answer
    x = 22,489.43

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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.