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Finding the Fourth Proportional to 81,907.97, 122,867.51 and 27,850.64

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Solution

The fourth proportional to 81,907.97, 122,867.51 and 27,850.64 is: 41,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907.97 : 122,867.51 = 27,850.64 : x
  2. Step 2: Convert to fraction form
    81,907.97/122,867.51 = 27,850.64/x
  3. Step 3: Cross multiply
    81,907.97x = 122,867.51 × 27,850.64
  4. Step 4: Simplify right side
    81,907.97x = 3,421,938,035.12
  5. Step 5: Solve for x
    x = 3,421,938,035.12/81,907.97
  6. Step 6: Final answer
    x = 41,777.84

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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.