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Finding the Fourth Proportional to 139.80, 193.14 and 107.16

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Solution

The fourth proportional to 139.80, 193.14 and 107.16 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.80 : 193.14 = 107.16 : x
  2. Step 2: Convert to fraction form
    139.80/193.14 = 107.16/x
  3. Step 3: Cross multiply
    139.80x = 193.14 × 107.16
  4. Step 4: Simplify right side
    139.80x = 20,696.88
  5. Step 5: Solve for x
    x = 20,696.88/139.80
  6. Step 6: Final answer
    x = 148.05

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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.