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Finding the Fourth Proportional to 120,794.82, 166,502.95 and 82,020.52

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Solution

The fourth proportional to 120,794.82, 166,502.95 and 82,020.52 is: 113,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,794.82 : 166,502.95 = 82,020.52 : x
  2. Step 2: Convert to fraction form
    120,794.82/166,502.95 = 82,020.52/x
  3. Step 3: Cross multiply
    120,794.82x = 166,502.95 × 82,020.52
  4. Step 4: Simplify right side
    120,794.82x = 13,656,658,540.53
  5. Step 5: Solve for x
    x = 13,656,658,540.53/120,794.82
  6. Step 6: Final answer
    x = 113,056.66

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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.