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Finding the Fourth Proportional to 36,255.68, 50,023.20 and 21,912

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Solution

The fourth proportional to 36,255.68, 50,023.20 and 21,912 is: 30,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,255.68 : 50,023.20 = 21,912 : x
  2. Step 2: Convert to fraction form
    36,255.68/50,023.20 = 21,912/x
  3. Step 3: Cross multiply
    36,255.68x = 50,023.20 × 21,912
  4. Step 4: Simplify right side
    36,255.68x = 1,096,108,358.40
  5. Step 5: Solve for x
    x = 1,096,108,358.40/36,255.68
  6. Step 6: Final answer
    x = 30,232.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.