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Finding the Fourth Proportional to 122,422.17, 183,570.74 and 71,919.83

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Solution

The fourth proportional to 122,422.17, 183,570.74 and 71,919.83 is: 107,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,422.17 : 183,570.74 = 71,919.83 : x
  2. Step 2: Convert to fraction form
    122,422.17/183,570.74 = 71,919.83/x
  3. Step 3: Cross multiply
    122,422.17x = 183,570.74 × 71,919.83
  4. Step 4: Simplify right side
    122,422.17x = 13,202,376,413.77
  5. Step 5: Solve for x
    x = 13,202,376,413.77/122,422.17
  6. Step 6: Final answer
    x = 107,843.02

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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.