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Finding the Fourth Proportional to 83,900.40, 115,785.24 and 48,097.20

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Solution

The fourth proportional to 83,900.40, 115,785.24 and 48,097.20 is: 66,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900.40 : 115,785.24 = 48,097.20 : x
  2. Step 2: Convert to fraction form
    83,900.40/115,785.24 = 48,097.20/x
  3. Step 3: Cross multiply
    83,900.40x = 115,785.24 × 48,097.20
  4. Step 4: Simplify right side
    83,900.40x = 5,568,945,845.33
  5. Step 5: Solve for x
    x = 5,568,945,845.33/83,900.40
  6. Step 6: Final answer
    x = 66,375.68

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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.