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Finding the Fourth Proportional to 78.26, 116.83 and 75.38

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Solution

The fourth proportional to 78.26, 116.83 and 75.38 is: 112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 116.83 = 75.38 : x
  2. Step 2: Convert to fraction form
    78.26/116.83 = 75.38/x
  3. Step 3: Cross multiply
    78.26x = 116.83 × 75.38
  4. Step 4: Simplify right side
    78.26x = 8,806.16
  5. Step 5: Solve for x
    x = 8,806.16/78.26
  6. Step 6: Final answer
    x = 112.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.