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Finding the Fourth Proportional to 49,081, 67,731.78 and 29,209

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Solution

The fourth proportional to 49,081, 67,731.78 and 29,209 is: 40,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,081 : 67,731.78 = 29,209 : x
  2. Step 2: Convert to fraction form
    49,081/67,731.78 = 29,209/x
  3. Step 3: Cross multiply
    49,081x = 67,731.78 × 29,209
  4. Step 4: Simplify right side
    49,081x = 1,978,377,562.02
  5. Step 5: Solve for x
    x = 1,978,377,562.02/49,081
  6. Step 6: Final answer
    x = 40,308.42

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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.