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Finding the Fourth Proportional to 139.62, 192.57 and 106.98

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Solution

The fourth proportional to 139.62, 192.57 and 106.98 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.62 : 192.57 = 106.98 : x
  2. Step 2: Convert to fraction form
    139.62/192.57 = 106.98/x
  3. Step 3: Cross multiply
    139.62x = 192.57 × 106.98
  4. Step 4: Simplify right side
    139.62x = 20,601.14
  5. Step 5: Solve for x
    x = 20,601.14/139.62
  6. Step 6: Final answer
    x = 147.55

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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.