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Finding the Fourth Proportional to 121.16, 181.78 and 67.06

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Solution

The fourth proportional to 121.16, 181.78 and 67.06 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 181.78 = 67.06 : x
  2. Step 2: Convert to fraction form
    121.16/181.78 = 67.06/x
  3. Step 3: Cross multiply
    121.16x = 181.78 × 67.06
  4. Step 4: Simplify right side
    121.16x = 12,190.17
  5. Step 5: Solve for x
    x = 12,190.17/121.16
  6. Step 6: Final answer
    x = 100.61

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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.