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Finding the Fourth Proportional to 100,212.82, 138,293.74 and 54,891.56

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Solution

The fourth proportional to 100,212.82, 138,293.74 and 54,891.56 is: 75,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.82 : 138,293.74 = 54,891.56 : x
  2. Step 2: Convert to fraction form
    100,212.82/138,293.74 = 54,891.56/x
  3. Step 3: Cross multiply
    100,212.82x = 138,293.74 × 54,891.56
  4. Step 4: Simplify right side
    100,212.82x = 7,591,159,126.83
  5. Step 5: Solve for x
    x = 7,591,159,126.83/100,212.82
  6. Step 6: Final answer
    x = 75,750.38

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1.5x scale

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.