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Finding the Fourth Proportional to 36,361.80, 50,176.26 and 20,448

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Solution

The fourth proportional to 36,361.80, 50,176.26 and 20,448 is: 28,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,361.80 : 50,176.26 = 20,448 : x
  2. Step 2: Convert to fraction form
    36,361.80/50,176.26 = 20,448/x
  3. Step 3: Cross multiply
    36,361.80x = 50,176.26 × 20,448
  4. Step 4: Simplify right side
    36,361.80x = 1,026,004,164.48
  5. Step 5: Solve for x
    x = 1,026,004,164.48/36,361.80
  6. Step 6: Final answer
    x = 28,216.54

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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.