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Finding the Fourth Proportional to 77,481.50, 106,803.16 and 50,610.56

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Solution

The fourth proportional to 77,481.50, 106,803.16 and 50,610.56 is: 69,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,481.50 : 106,803.16 = 50,610.56 : x
  2. Step 2: Convert to fraction form
    77,481.50/106,803.16 = 50,610.56/x
  3. Step 3: Cross multiply
    77,481.50x = 106,803.16 × 50,610.56
  4. Step 4: Simplify right side
    77,481.50x = 5,405,367,076.83
  5. Step 5: Solve for x
    x = 5,405,367,076.83/77,481.50
  6. Step 6: Final answer
    x = 69,763.33

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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.