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Finding the Fourth Proportional to 100,213.16, 138,294.22 and 54,891.90

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Solution

The fourth proportional to 100,213.16, 138,294.22 and 54,891.90 is: 75,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.16 : 138,294.22 = 54,891.90 : x
  2. Step 2: Convert to fraction form
    100,213.16/138,294.22 = 54,891.90/x
  3. Step 3: Cross multiply
    100,213.16x = 138,294.22 × 54,891.90
  4. Step 4: Simplify right side
    100,213.16x = 7,591,232,494.82
  5. Step 5: Solve for x
    x = 7,591,232,494.82/100,213.16
  6. Step 6: Final answer
    x = 75,750.85

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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.