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Finding the Fourth Proportional to 139.50, 192.36 and 102.78

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Solution

The fourth proportional to 139.50, 192.36 and 102.78 is: 141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.50 : 192.36 = 102.78 : x
  2. Step 2: Convert to fraction form
    139.50/192.36 = 102.78/x
  3. Step 3: Cross multiply
    139.50x = 192.36 × 102.78
  4. Step 4: Simplify right side
    139.50x = 19,770.76
  5. Step 5: Solve for x
    x = 19,770.76/139.50
  6. Step 6: Final answer
    x = 141.73

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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.