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Finding the Fourth Proportional to 80,716.80, 121,046.40 and 30,783.84

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Solution

The fourth proportional to 80,716.80, 121,046.40 and 30,783.84 is: 46,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716.80 : 121,046.40 = 30,783.84 : x
  2. Step 2: Convert to fraction form
    80,716.80/121,046.40 = 30,783.84/x
  3. Step 3: Cross multiply
    80,716.80x = 121,046.40 × 30,783.84
  4. Step 4: Simplify right side
    80,716.80x = 3,726,273,010.18
  5. Step 5: Solve for x
    x = 3,726,273,010.18/80,716.80
  6. Step 6: Final answer
    x = 46,164.78

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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.