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Finding the Fourth Proportional to 140.32, 193.66 and 78.16

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Solution

The fourth proportional to 140.32, 193.66 and 78.16 is: 107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.32 : 193.66 = 78.16 : x
  2. Step 2: Convert to fraction form
    140.32/193.66 = 78.16/x
  3. Step 3: Cross multiply
    140.32x = 193.66 × 78.16
  4. Step 4: Simplify right side
    140.32x = 15,136.75
  5. Step 5: Solve for x
    x = 15,136.75/140.32
  6. Step 6: Final answer
    x = 107.87

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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.