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Finding the Fourth Proportional to 121.77, 181.80 and 112.11

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Solution

The fourth proportional to 121.77, 181.80 and 112.11 is: 167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.77 : 181.80 = 112.11 : x
  2. Step 2: Convert to fraction form
    121.77/181.80 = 112.11/x
  3. Step 3: Cross multiply
    121.77x = 181.80 × 112.11
  4. Step 4: Simplify right side
    121.77x = 20,381.60
  5. Step 5: Solve for x
    x = 20,381.60/121.77
  6. Step 6: Final answer
    x = 167.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.