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Finding the Fourth Proportional to 83,080.89, 114,731.24 and 66,076.97

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Solution

The fourth proportional to 83,080.89, 114,731.24 and 66,076.97 is: 91,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080.89 : 114,731.24 = 66,076.97 : x
  2. Step 2: Convert to fraction form
    83,080.89/114,731.24 = 66,076.97/x
  3. Step 3: Cross multiply
    83,080.89x = 114,731.24 × 66,076.97
  4. Step 4: Simplify right side
    83,080.89x = 7,581,091,799.50
  5. Step 5: Solve for x
    x = 7,581,091,799.50/83,080.89
  6. Step 6: Final answer
    x = 91,249.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.