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Finding the Fourth Proportional to 121.94, 168.45 and 106.64

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Solution

The fourth proportional to 121.94, 168.45 and 106.64 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 168.45 = 106.64 : x
  2. Step 2: Convert to fraction form
    121.94/168.45 = 106.64/x
  3. Step 3: Cross multiply
    121.94x = 168.45 × 106.64
  4. Step 4: Simplify right side
    121.94x = 17,963.51
  5. Step 5: Solve for x
    x = 17,963.51/121.94
  6. Step 6: Final answer
    x = 147.31

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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.