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Finding the Fourth Proportional to 78,115.46, 117,103.03 and 28,183.82

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Solution

The fourth proportional to 78,115.46, 117,103.03 and 28,183.82 is: 42,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.46 : 117,103.03 = 28,183.82 : x
  2. Step 2: Convert to fraction form
    78,115.46/117,103.03 = 28,183.82/x
  3. Step 3: Cross multiply
    78,115.46x = 117,103.03 × 28,183.82
  4. Step 4: Simplify right side
    78,115.46x = 3,300,410,718.97
  5. Step 5: Solve for x
    x = 3,300,410,718.97/78,115.46
  6. Step 6: Final answer
    x = 42,250.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.