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Finding the Fourth Proportional to 139.50, 208.89 and 78.33

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Solution

The fourth proportional to 139.50, 208.89 and 78.33 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.50 : 208.89 = 78.33 : x
  2. Step 2: Convert to fraction form
    139.50/208.89 = 78.33/x
  3. Step 3: Cross multiply
    139.50x = 208.89 × 78.33
  4. Step 4: Simplify right side
    139.50x = 16,362.35
  5. Step 5: Solve for x
    x = 16,362.35/139.50
  6. Step 6: Final answer
    x = 117.29

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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.