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Finding the Fourth Proportional to 138,608.27, 191,278.49 and 78,179.42

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Solution

The fourth proportional to 138,608.27, 191,278.49 and 78,179.42 is: 107,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,608.27 : 191,278.49 = 78,179.42 : x
  2. Step 2: Convert to fraction form
    138,608.27/191,278.49 = 78,179.42/x
  3. Step 3: Cross multiply
    138,608.27x = 191,278.49 × 78,179.42
  4. Step 4: Simplify right side
    138,608.27x = 14,954,040,059.39
  5. Step 5: Solve for x
    x = 14,954,040,059.39/138,608.27
  6. Step 6: Final answer
    x = 107,887.07

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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.