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Finding the Fourth Proportional to 78.09, 116.79 and 50.65

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Solution

The fourth proportional to 78.09, 116.79 and 50.65 is: 75.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 116.79 = 50.65 : x
  2. Step 2: Convert to fraction form
    78.09/116.79 = 50.65/x
  3. Step 3: Cross multiply
    78.09x = 116.79 × 50.65
  4. Step 4: Simplify right side
    78.09x = 5,915.41
  5. Step 5: Solve for x
    x = 5,915.41/78.09
  6. Step 6: Final answer
    x = 75.75

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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.