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Finding the Fourth Proportional to 80,538.78, 120,791.70 and 30,601.38

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Solution

The fourth proportional to 80,538.78, 120,791.70 and 30,601.38 is: 45,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538.78 : 120,791.70 = 30,601.38 : x
  2. Step 2: Convert to fraction form
    80,538.78/120,791.70 = 30,601.38/x
  3. Step 3: Cross multiply
    80,538.78x = 120,791.70 × 30,601.38
  4. Step 4: Simplify right side
    80,538.78x = 3,696,392,712.55
  5. Step 5: Solve for x
    x = 3,696,392,712.55/80,538.78
  6. Step 6: Final answer
    x = 45,895.81

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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.