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Finding the Fourth Proportional to 81,983.64, 122,697.69 and 50,413.70

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Solution

The fourth proportional to 81,983.64, 122,697.69 and 50,413.70 is: 75,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,983.64 : 122,697.69 = 50,413.70 : x
  2. Step 2: Convert to fraction form
    81,983.64/122,697.69 = 50,413.70/x
  3. Step 3: Cross multiply
    81,983.64x = 122,697.69 × 50,413.70
  4. Step 4: Simplify right side
    81,983.64x = 6,185,643,920.86
  5. Step 5: Solve for x
    x = 6,185,643,920.86/81,983.64
  6. Step 6: Final answer
    x = 75,449.74

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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.