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Finding the Fourth Proportional to 83,378.97, 115,062.83 and 45,138.33

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Solution

The fourth proportional to 83,378.97, 115,062.83 and 45,138.33 is: 62,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.97 : 115,062.83 = 45,138.33 : x
  2. Step 2: Convert to fraction form
    83,378.97/115,062.83 = 45,138.33/x
  3. Step 3: Cross multiply
    83,378.97x = 115,062.83 × 45,138.33
  4. Step 4: Simplify right side
    83,378.97x = 5,193,743,991.27
  5. Step 5: Solve for x
    x = 5,193,743,991.27/83,378.97
  6. Step 6: Final answer
    x = 62,290.81

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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.