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Finding the Fourth Proportional to 68,117.38, 102,174.89 and 30,650.94

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Solution

The fourth proportional to 68,117.38, 102,174.89 and 30,650.94 is: 45,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,117.38 : 102,174.89 = 30,650.94 : x
  2. Step 2: Convert to fraction form
    68,117.38/102,174.89 = 30,650.94/x
  3. Step 3: Cross multiply
    68,117.38x = 102,174.89 × 30,650.94
  4. Step 4: Simplify right side
    68,117.38x = 3,131,756,269.64
  5. Step 5: Solve for x
    x = 3,131,756,269.64/68,117.38
  6. Step 6: Final answer
    x = 45,975.88

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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.