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Finding the Fourth Proportional to 121.04, 167.20 and 107.98

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Solution

The fourth proportional to 121.04, 167.20 and 107.98 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.04 : 167.20 = 107.98 : x
  2. Step 2: Convert to fraction form
    121.04/167.20 = 107.98/x
  3. Step 3: Cross multiply
    121.04x = 167.20 × 107.98
  4. Step 4: Simplify right side
    121.04x = 18,054.26
  5. Step 5: Solve for x
    x = 18,054.26/121.04
  6. Step 6: Final answer
    x = 149.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.