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Finding the Fourth Proportional to 68,171.74, 102,262.28 and 23,174.78

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Solution

The fourth proportional to 68,171.74, 102,262.28 and 23,174.78 is: 34,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,171.74 : 102,262.28 = 23,174.78 : x
  2. Step 2: Convert to fraction form
    68,171.74/102,262.28 = 23,174.78/x
  3. Step 3: Cross multiply
    68,171.74x = 102,262.28 × 23,174.78
  4. Step 4: Simplify right side
    68,171.74x = 2,369,906,158.42
  5. Step 5: Solve for x
    x = 2,369,906,158.42/68,171.74
  6. Step 6: Final answer
    x = 34,763.76

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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.