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Finding the Fourth Proportional to 71,529.78, 107,282.51 and 18,944.58

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Solution

The fourth proportional to 71,529.78, 107,282.51 and 18,944.58 is: 28,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,529.78 : 107,282.51 = 18,944.58 : x
  2. Step 2: Convert to fraction form
    71,529.78/107,282.51 = 18,944.58/x
  3. Step 3: Cross multiply
    71,529.78x = 107,282.51 × 18,944.58
  4. Step 4: Simplify right side
    71,529.78x = 2,032,422,093.30
  5. Step 5: Solve for x
    x = 2,032,422,093.30/71,529.78
  6. Step 6: Final answer
    x = 28,413.65

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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.