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Finding the Fourth Proportional to 120.53, 181.67 and 112.17

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Solution

The fourth proportional to 120.53, 181.67 and 112.17 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.53 : 181.67 = 112.17 : x
  2. Step 2: Convert to fraction form
    120.53/181.67 = 112.17/x
  3. Step 3: Cross multiply
    120.53x = 181.67 × 112.17
  4. Step 4: Simplify right side
    120.53x = 20,377.36
  5. Step 5: Solve for x
    x = 20,377.36/120.53
  6. Step 6: Final answer
    x = 169.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.