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Finding the Fourth Proportional to 90,835.88, 135,672.43 and 82,274.52

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Solution

The fourth proportional to 90,835.88, 135,672.43 and 82,274.52 is: 122,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,835.88 : 135,672.43 = 82,274.52 : x
  2. Step 2: Convert to fraction form
    90,835.88/135,672.43 = 82,274.52/x
  3. Step 3: Cross multiply
    90,835.88x = 135,672.43 × 82,274.52
  4. Step 4: Simplify right side
    90,835.88x = 11,162,383,849.80
  5. Step 5: Solve for x
    x = 11,162,383,849.80/90,835.88
  6. Step 6: Final answer
    x = 122,885.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.