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Finding the Fourth Proportional to 161,309.82, 242,013.96 and 82,479.42

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Solution

The fourth proportional to 161,309.82, 242,013.96 and 82,479.42 is: 123,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,309.82 : 242,013.96 = 82,479.42 : x
  2. Step 2: Convert to fraction form
    161,309.82/242,013.96 = 82,479.42/x
  3. Step 3: Cross multiply
    161,309.82x = 242,013.96 × 82,479.42
  4. Step 4: Simplify right side
    161,309.82x = 19,961,171,052.70
  5. Step 5: Solve for x
    x = 19,961,171,052.70/161,309.82
  6. Step 6: Final answer
    x = 123,744.30

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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.