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Finding the Fourth Proportional to 140.34, 193.62 and 82.14

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Solution

The fourth proportional to 140.34, 193.62 and 82.14 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.34 : 193.62 = 82.14 : x
  2. Step 2: Convert to fraction form
    140.34/193.62 = 82.14/x
  3. Step 3: Cross multiply
    140.34x = 193.62 × 82.14
  4. Step 4: Simplify right side
    140.34x = 15,903.95
  5. Step 5: Solve for x
    x = 15,903.95/140.34
  6. Step 6: Final answer
    x = 113.32

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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.