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Finding the Fourth Proportional to 69,145.65, 95,414.94 and 38,516.49

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Solution

The fourth proportional to 69,145.65, 95,414.94 and 38,516.49 is: 53,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,145.65 : 95,414.94 = 38,516.49 : x
  2. Step 2: Convert to fraction form
    69,145.65/95,414.94 = 38,516.49/x
  3. Step 3: Cross multiply
    69,145.65x = 95,414.94 × 38,516.49
  4. Step 4: Simplify right side
    69,145.65x = 3,675,048,582.36
  5. Step 5: Solve for x
    x = 3,675,048,582.36/69,145.65
  6. Step 6: Final answer
    x = 53,149.38

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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.