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Finding the Fourth Proportional to 135,016.92, 186,324.66 and 74,589

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Solution

The fourth proportional to 135,016.92, 186,324.66 and 74,589 is: 102,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,016.92 : 186,324.66 = 74,589 : x
  2. Step 2: Convert to fraction form
    135,016.92/186,324.66 = 74,589/x
  3. Step 3: Cross multiply
    135,016.92x = 186,324.66 × 74,589
  4. Step 4: Simplify right side
    135,016.92x = 13,897,770,064.74
  5. Step 5: Solve for x
    x = 13,897,770,064.74/135,016.92
  6. Step 6: Final answer
    x = 102,933.54

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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.