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Finding the Fourth Proportional to 161.90, 242.76 and 75.20

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Solution

The fourth proportional to 161.90, 242.76 and 75.20 is: 112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 242.76 = 75.20 : x
  2. Step 2: Convert to fraction form
    161.90/242.76 = 75.20/x
  3. Step 3: Cross multiply
    161.90x = 242.76 × 75.20
  4. Step 4: Simplify right side
    161.90x = 18,255.55
  5. Step 5: Solve for x
    x = 18,255.55/161.90
  6. Step 6: Final answer
    x = 112.76

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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.