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Finding the Fourth Proportional to 121.86, 181.98 and 118.89

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Solution

The fourth proportional to 121.86, 181.98 and 118.89 is: 177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 181.98 = 118.89 : x
  2. Step 2: Convert to fraction form
    121.86/181.98 = 118.89/x
  3. Step 3: Cross multiply
    121.86x = 181.98 × 118.89
  4. Step 4: Simplify right side
    121.86x = 21,635.60
  5. Step 5: Solve for x
    x = 21,635.60/121.86
  6. Step 6: Final answer
    x = 177.54

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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.