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Finding the Fourth Proportional to 140.17, 192.81 and 121.81

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Solution

The fourth proportional to 140.17, 192.81 and 121.81 is: 167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.17 : 192.81 = 121.81 : x
  2. Step 2: Convert to fraction form
    140.17/192.81 = 121.81/x
  3. Step 3: Cross multiply
    140.17x = 192.81 × 121.81
  4. Step 4: Simplify right side
    140.17x = 23,486.19
  5. Step 5: Solve for x
    x = 23,486.19/140.17
  6. Step 6: Final answer
    x = 167.56

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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.