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Finding the Fourth Proportional to 82,063.37, 122,745.12 and 50,395.61

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Solution

The fourth proportional to 82,063.37, 122,745.12 and 50,395.61 is: 75,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,063.37 : 122,745.12 = 50,395.61 : x
  2. Step 2: Convert to fraction form
    82,063.37/122,745.12 = 50,395.61/x
  3. Step 3: Cross multiply
    82,063.37x = 122,745.12 × 50,395.61
  4. Step 4: Simplify right side
    82,063.37x = 6,185,814,583.20
  5. Step 5: Solve for x
    x = 6,185,814,583.20/82,063.37
  6. Step 6: Final answer
    x = 75,378.51

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