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Finding the Fourth Proportional to 139.78, 192.62 and 113.15

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Solution

The fourth proportional to 139.78, 192.62 and 113.15 is: 155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.78 : 192.62 = 113.15 : x
  2. Step 2: Convert to fraction form
    139.78/192.62 = 113.15/x
  3. Step 3: Cross multiply
    139.78x = 192.62 × 113.15
  4. Step 4: Simplify right side
    139.78x = 21,794.27
  5. Step 5: Solve for x
    x = 21,794.27/139.78
  6. Step 6: Final answer
    x = 155.92

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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.