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Finding the Fourth Proportional to 121.09, 180.64 and 101.95

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Solution

The fourth proportional to 121.09, 180.64 and 101.95 is: 152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.09 : 180.64 = 101.95 : x
  2. Step 2: Convert to fraction form
    121.09/180.64 = 101.95/x
  3. Step 3: Cross multiply
    121.09x = 180.64 × 101.95
  4. Step 4: Simplify right side
    121.09x = 18,416.25
  5. Step 5: Solve for x
    x = 18,416.25/121.09
  6. Step 6: Final answer
    x = 152.09

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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.