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Finding the Fourth Proportional to 83,378.96, 115,062.84 and 45,138.32

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Solution

The fourth proportional to 83,378.96, 115,062.84 and 45,138.32 is: 62,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.96 : 115,062.84 = 45,138.32 : x
  2. Step 2: Convert to fraction form
    83,378.96/115,062.84 = 45,138.32/x
  3. Step 3: Cross multiply
    83,378.96x = 115,062.84 × 45,138.32
  4. Step 4: Simplify right side
    83,378.96x = 5,193,743,292.03
  5. Step 5: Solve for x
    x = 5,193,743,292.03/83,378.96
  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.