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Finding the Fourth Proportional to 81,983.51, 122,697.51 and 50,413.57

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Solution

The fourth proportional to 81,983.51, 122,697.51 and 50,413.57 is: 75,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,983.51 : 122,697.51 = 50,413.57 : x
  2. Step 2: Convert to fraction form
    81,983.51/122,697.51 = 50,413.57/x
  3. Step 3: Cross multiply
    81,983.51x = 122,697.51 × 50,413.57
  4. Step 4: Simplify right side
    81,983.51x = 6,185,619,509.21
  5. Step 5: Solve for x
    x = 6,185,619,509.21/81,983.51
  6. Step 6: Final answer
    x = 75,449.56

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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.