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Finding the Fourth Proportional to 120.61, 181.66 and 112.16

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Solution

The fourth proportional to 120.61, 181.66 and 112.16 is: 168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.61 : 181.66 = 112.16 : x
  2. Step 2: Convert to fraction form
    120.61/181.66 = 112.16/x
  3. Step 3: Cross multiply
    120.61x = 181.66 × 112.16
  4. Step 4: Simplify right side
    120.61x = 20,373.80
  5. Step 5: Solve for x
    x = 20,373.80/120.61
  6. Step 6: Final answer
    x = 168.93

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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.