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Finding the Fourth Proportional to 36,644.40, 54,961.74 and 20,023.20

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Solution

The fourth proportional to 36,644.40, 54,961.74 and 20,023.20 is: 30,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,644.40 : 54,961.74 = 20,023.20 : x
  2. Step 2: Convert to fraction form
    36,644.40/54,961.74 = 20,023.20/x
  3. Step 3: Cross multiply
    36,644.40x = 54,961.74 × 20,023.20
  4. Step 4: Simplify right side
    36,644.40x = 1,100,509,912.37
  5. Step 5: Solve for x
    x = 1,100,509,912.37/36,644.40
  6. Step 6: Final answer
    x = 30,032.14

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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.