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Finding the Fourth Proportional to 81,996, 122,996.88 and 46,919.52

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Solution

The fourth proportional to 81,996, 122,996.88 and 46,919.52 is: 70,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996 : 122,996.88 = 46,919.52 : x
  2. Step 2: Convert to fraction form
    81,996/122,996.88 = 46,919.52/x
  3. Step 3: Cross multiply
    81,996x = 122,996.88 × 46,919.52
  4. Step 4: Simplify right side
    81,996x = 5,770,954,571.10
  5. Step 5: Solve for x
    x = 5,770,954,571.10/81,996
  6. Step 6: Final answer
    x = 70,380.93

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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.