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Finding the Fourth Proportional to 139.24, 192 and 102.34

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Solution

The fourth proportional to 139.24, 192 and 102.34 is: 141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 192 = 102.34 : x
  2. Step 2: Convert to fraction form
    139.24/192 = 102.34/x
  3. Step 3: Cross multiply
    139.24x = 192 × 102.34
  4. Step 4: Simplify right side
    139.24x = 19,649.28
  5. Step 5: Solve for x
    x = 19,649.28/139.24
  6. Step 6: Final answer
    x = 141.12

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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.