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Finding the Fourth Proportional to 120,806.46, 166,796.33 and 75,504.78

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Solution

The fourth proportional to 120,806.46, 166,796.33 and 75,504.78 is: 104,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,806.46 : 166,796.33 = 75,504.78 : x
  2. Step 2: Convert to fraction form
    120,806.46/166,796.33 = 75,504.78/x
  3. Step 3: Cross multiply
    120,806.46x = 166,796.33 × 75,504.78
  4. Step 4: Simplify right side
    120,806.46x = 12,593,919,823.93
  5. Step 5: Solve for x
    x = 12,593,919,823.93/120,806.46
  6. Step 6: Final answer
    x = 104,248.73

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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.