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Finding the Fourth Proportional to 140.06, 193.14 and 96.32

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Solution

The fourth proportional to 140.06, 193.14 and 96.32 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 193.14 = 96.32 : x
  2. Step 2: Convert to fraction form
    140.06/193.14 = 96.32/x
  3. Step 3: Cross multiply
    140.06x = 193.14 × 96.32
  4. Step 4: Simplify right side
    140.06x = 18,602.28
  5. Step 5: Solve for x
    x = 18,602.28/140.06
  6. Step 6: Final answer
    x = 132.82

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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.