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Finding the Fourth Proportional to 131,982.62, 182,133.78 and 74,621

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Solution

The fourth proportional to 131,982.62, 182,133.78 and 74,621 is: 102,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,982.62 : 182,133.78 = 74,621 : x
  2. Step 2: Convert to fraction form
    131,982.62/182,133.78 = 74,621/x
  3. Step 3: Cross multiply
    131,982.62x = 182,133.78 × 74,621
  4. Step 4: Simplify right side
    131,982.62x = 13,591,004,797.38
  5. Step 5: Solve for x
    x = 13,591,004,797.38/131,982.62
  6. Step 6: Final answer
    x = 102,975.72

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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.