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Finding the Fourth Proportional to 68,123.39, 102,183.89 and 30,656.94

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Solution

The fourth proportional to 68,123.39, 102,183.89 and 30,656.94 is: 45,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,123.39 : 102,183.89 = 30,656.94 : x
  2. Step 2: Convert to fraction form
    68,123.39/102,183.89 = 30,656.94/x
  3. Step 3: Cross multiply
    68,123.39x = 102,183.89 × 30,656.94
  4. Step 4: Simplify right side
    68,123.39x = 3,132,645,231.41
  5. Step 5: Solve for x
    x = 3,132,645,231.41/68,123.39
  6. Step 6: Final answer
    x = 45,984.87

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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.