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Finding the Fourth Proportional to 139.34, 192.16 and 109.78

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Solution

The fourth proportional to 139.34, 192.16 and 109.78 is: 151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.34 : 192.16 = 109.78 : x
  2. Step 2: Convert to fraction form
    139.34/192.16 = 109.78/x
  3. Step 3: Cross multiply
    139.34x = 192.16 × 109.78
  4. Step 4: Simplify right side
    139.34x = 21,095.32
  5. Step 5: Solve for x
    x = 21,095.32/139.34
  6. Step 6: Final answer
    x = 151.39

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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.