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Finding the Fourth Proportional to 121.89, 168.24 and 106.50

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Solution

The fourth proportional to 121.89, 168.24 and 106.50 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.89 : 168.24 = 106.50 : x
  2. Step 2: Convert to fraction form
    121.89/168.24 = 106.50/x
  3. Step 3: Cross multiply
    121.89x = 168.24 × 106.50
  4. Step 4: Simplify right side
    121.89x = 17,917.56
  5. Step 5: Solve for x
    x = 17,917.56/121.89
  6. Step 6: Final answer
    x = 147.00

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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.