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Finding the Fourth Proportional to 42,138.16, 63,161.88 and 22,396.88

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Solution

The fourth proportional to 42,138.16, 63,161.88 and 22,396.88 is: 33,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.16 : 63,161.88 = 22,396.88 : x
  2. Step 2: Convert to fraction form
    42,138.16/63,161.88 = 22,396.88/x
  3. Step 3: Cross multiply
    42,138.16x = 63,161.88 × 22,396.88
  4. Step 4: Simplify right side
    42,138.16x = 1,414,629,046.93
  5. Step 5: Solve for x
    x = 1,414,629,046.93/42,138.16
  6. Step 6: Final answer
    x = 33,571.21

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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.