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Finding the Fourth Proportional to 81,311.76, 121,963.98 and 33,907.32

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Solution

The fourth proportional to 81,311.76, 121,963.98 and 33,907.32 is: 50,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,311.76 : 121,963.98 = 33,907.32 : x
  2. Step 2: Convert to fraction form
    81,311.76/121,963.98 = 33,907.32/x
  3. Step 3: Cross multiply
    81,311.76x = 121,963.98 × 33,907.32
  4. Step 4: Simplify right side
    81,311.76x = 4,135,471,698.33
  5. Step 5: Solve for x
    x = 4,135,471,698.33/81,311.76
  6. Step 6: Final answer
    x = 50,859.45

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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.