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Finding the Fourth Proportional to 78,163.86, 107,861 and 49,866.50

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Solution

The fourth proportional to 78,163.86, 107,861 and 49,866.50 is: 68,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.86 : 107,861 = 49,866.50 : x
  2. Step 2: Convert to fraction form
    78,163.86/107,861 = 49,866.50/x
  3. Step 3: Cross multiply
    78,163.86x = 107,861 × 49,866.50
  4. Step 4: Simplify right side
    78,163.86x = 5,378,650,556.50
  5. Step 5: Solve for x
    x = 5,378,650,556.50/78,163.86
  6. Step 6: Final answer
    x = 68,812.50

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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.