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Finding the Fourth Proportional to 161.31, 242.09 and 75.87

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Solution

The fourth proportional to 161.31, 242.09 and 75.87 is: 113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 242.09 = 75.87 : x
  2. Step 2: Convert to fraction form
    161.31/242.09 = 75.87/x
  3. Step 3: Cross multiply
    161.31x = 242.09 × 75.87
  4. Step 4: Simplify right side
    161.31x = 18,366.99
  5. Step 5: Solve for x
    x = 18,366.99/161.31
  6. Step 6: Final answer
    x = 113.86

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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.