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Finding the Fourth Proportional to 139.25, 209.03 and 98.55

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Solution

The fourth proportional to 139.25, 209.03 and 98.55 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.25 : 209.03 = 98.55 : x
  2. Step 2: Convert to fraction form
    139.25/209.03 = 98.55/x
  3. Step 3: Cross multiply
    139.25x = 209.03 × 98.55
  4. Step 4: Simplify right side
    139.25x = 20,599.41
  5. Step 5: Solve for x
    x = 20,599.41/139.25
  6. Step 6: Final answer
    x = 147.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.