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Finding the Fourth Proportional to 139.52, 209.49 and 78.77

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Solution

The fourth proportional to 139.52, 209.49 and 78.77 is: 118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.52 : 209.49 = 78.77 : x
  2. Step 2: Convert to fraction form
    139.52/209.49 = 78.77/x
  3. Step 3: Cross multiply
    139.52x = 209.49 × 78.77
  4. Step 4: Simplify right side
    139.52x = 16,501.76
  5. Step 5: Solve for x
    x = 16,501.76/139.52
  6. Step 6: Final answer
    x = 118.27

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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.