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Finding the Fourth Proportional to 139.94, 209.74 and 71.48

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Solution

The fourth proportional to 139.94, 209.74 and 71.48 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.94 : 209.74 = 71.48 : x
  2. Step 2: Convert to fraction form
    139.94/209.74 = 71.48/x
  3. Step 3: Cross multiply
    139.94x = 209.74 × 71.48
  4. Step 4: Simplify right side
    139.94x = 14,991.86
  5. Step 5: Solve for x
    x = 14,991.86/139.94
  6. Step 6: Final answer
    x = 107.13

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