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Finding the Fourth Proportional to 139.08, 192.06 and 106.56

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Solution

The fourth proportional to 139.08, 192.06 and 106.56 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.08 : 192.06 = 106.56 : x
  2. Step 2: Convert to fraction form
    139.08/192.06 = 106.56/x
  3. Step 3: Cross multiply
    139.08x = 192.06 × 106.56
  4. Step 4: Simplify right side
    139.08x = 20,465.91
  5. Step 5: Solve for x
    x = 20,465.91/139.08
  6. Step 6: Final answer
    x = 147.15

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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.