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Finding the Fourth Proportional to 84,089.97, 126,157.64 and 27,939.15

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Solution

The fourth proportional to 84,089.97, 126,157.64 and 27,939.15 is: 41,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,089.97 : 126,157.64 = 27,939.15 : x
  2. Step 2: Convert to fraction form
    84,089.97/126,157.64 = 27,939.15/x
  3. Step 3: Cross multiply
    84,089.97x = 126,157.64 × 27,939.15
  4. Step 4: Simplify right side
    84,089.97x = 3,524,737,087.91
  5. Step 5: Solve for x
    x = 3,524,737,087.91/84,089.97
  6. Step 6: Final answer
    x = 41,916.26

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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.