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Finding the Fourth Proportional to 139.93, 209.68 and 71.39

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Solution

The fourth proportional to 139.93, 209.68 and 71.39 is: 106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.93 : 209.68 = 71.39 : x
  2. Step 2: Convert to fraction form
    139.93/209.68 = 71.39/x
  3. Step 3: Cross multiply
    139.93x = 209.68 × 71.39
  4. Step 4: Simplify right side
    139.93x = 14,969.40
  5. Step 5: Solve for x
    x = 14,969.40/139.93
  6. Step 6: Final answer
    x = 106.98

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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.