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Finding the Fourth Proportional to 78,163.83, 117,245.79 and 54,894.15

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Solution

The fourth proportional to 78,163.83, 117,245.79 and 54,894.15 is: 82,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.83 : 117,245.79 = 54,894.15 : x
  2. Step 2: Convert to fraction form
    78,163.83/117,245.79 = 54,894.15/x
  3. Step 3: Cross multiply
    78,163.83x = 117,245.79 × 54,894.15
  4. Step 4: Simplify right side
    78,163.83x = 6,436,107,983.13
  5. Step 5: Solve for x
    x = 6,436,107,983.13/78,163.83
  6. Step 6: Final answer
    x = 82,341.26

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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.