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Finding the Fourth Proportional to 69,121.57, 103,678.70 and 34,049.38

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Solution

The fourth proportional to 69,121.57, 103,678.70 and 34,049.38 is: 51,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,121.57 : 103,678.70 = 34,049.38 : x
  2. Step 2: Convert to fraction form
    69,121.57/103,678.70 = 34,049.38/x
  3. Step 3: Cross multiply
    69,121.57x = 103,678.70 × 34,049.38
  4. Step 4: Simplify right side
    69,121.57x = 3,530,194,935.81
  5. Step 5: Solve for x
    x = 3,530,194,935.81/69,121.57
  6. Step 6: Final answer
    x = 51,072.27

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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.