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Finding the Fourth Proportional to 83,408.52, 115,105.44 and 45,682.80

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Solution

The fourth proportional to 83,408.52, 115,105.44 and 45,682.80 is: 63,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.52 : 115,105.44 = 45,682.80 : x
  2. Step 2: Convert to fraction form
    83,408.52/115,105.44 = 45,682.80/x
  3. Step 3: Cross multiply
    83,408.52x = 115,105.44 × 45,682.80
  4. Step 4: Simplify right side
    83,408.52x = 5,258,338,794.43
  5. Step 5: Solve for x
    x = 5,258,338,794.43/83,408.52
  6. Step 6: Final answer
    x = 63,043.19

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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.