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Finding the Fourth Proportional to 81,651.64, 122,524.72 and 34,262.50

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Solution

The fourth proportional to 81,651.64, 122,524.72 and 34,262.50 is: 51,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.64 : 122,524.72 = 34,262.50 : x
  2. Step 2: Convert to fraction form
    81,651.64/122,524.72 = 34,262.50/x
  3. Step 3: Cross multiply
    81,651.64x = 122,524.72 × 34,262.50
  4. Step 4: Simplify right side
    81,651.64x = 4,198,003,219
  5. Step 5: Solve for x
    x = 4,198,003,219/81,651.64
  6. Step 6: Final answer
    x = 51,413.58

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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.