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Finding the Fourth Proportional to 100,212.86, 138,293.81 and 54,891.61

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Solution

The fourth proportional to 100,212.86, 138,293.81 and 54,891.61 is: 75,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.86 : 138,293.81 = 54,891.61 : x
  2. Step 2: Convert to fraction form
    100,212.86/138,293.81 = 54,891.61/x
  3. Step 3: Cross multiply
    100,212.86x = 138,293.81 × 54,891.61
  4. Step 4: Simplify right side
    100,212.86x = 7,591,169,469.59
  5. Step 5: Solve for x
    x = 7,591,169,469.59/100,212.86
  6. Step 6: Final answer
    x = 75,750.45

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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.