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Finding the Fourth Proportional to 36,414, 54,621 and 20,820.69

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Solution

The fourth proportional to 36,414, 54,621 and 20,820.69 is: 31,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 54,621 = 20,820.69 : x
  2. Step 2: Convert to fraction form
    36,414/54,621 = 20,820.69/x
  3. Step 3: Cross multiply
    36,414x = 54,621 × 20,820.69
  4. Step 4: Simplify right side
    36,414x = 1,137,246,908.49
  5. Step 5: Solve for x
    x = 1,137,246,908.49/36,414
  6. Step 6: Final answer
    x = 31,231.04

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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.