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Finding the Fourth Proportional to 84,777.80, 126,972.30 and 82,833.80

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Solution

The fourth proportional to 84,777.80, 126,972.30 and 82,833.80 is: 124,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,777.80 : 126,972.30 = 82,833.80 : x
  2. Step 2: Convert to fraction form
    84,777.80/126,972.30 = 82,833.80/x
  3. Step 3: Cross multiply
    84,777.80x = 126,972.30 × 82,833.80
  4. Step 4: Simplify right side
    84,777.80x = 10,517,598,103.74
  5. Step 5: Solve for x
    x = 10,517,598,103.74/84,777.80
  6. Step 6: Final answer
    x = 124,060.76

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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.