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Finding the Fourth Proportional to 68,658.78, 102,998.70 and 29,205.30

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Solution

The fourth proportional to 68,658.78, 102,998.70 and 29,205.30 is: 43,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.78 : 102,998.70 = 29,205.30 : x
  2. Step 2: Convert to fraction form
    68,658.78/102,998.70 = 29,205.30/x
  3. Step 3: Cross multiply
    68,658.78x = 102,998.70 × 29,205.30
  4. Step 4: Simplify right side
    68,658.78x = 3,008,107,933.11
  5. Step 5: Solve for x
    x = 3,008,107,933.11/68,658.78
  6. Step 6: Final answer
    x = 43,812.43

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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.