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Finding the Fourth Proportional to 140.73, 192.53 and 140.12

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Solution

The fourth proportional to 140.73, 192.53 and 140.12 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 192.53 = 140.12 : x
  2. Step 2: Convert to fraction form
    140.73/192.53 = 140.12/x
  3. Step 3: Cross multiply
    140.73x = 192.53 × 140.12
  4. Step 4: Simplify right side
    140.73x = 26,977.30
  5. Step 5: Solve for x
    x = 26,977.30/140.73
  6. Step 6: Final answer
    x = 191.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.