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Finding the Fourth Proportional to 78.76, 117.60 and 76.71

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Solution

The fourth proportional to 78.76, 117.60 and 76.71 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.76 : 117.60 = 76.71 : x
  2. Step 2: Convert to fraction form
    78.76/117.60 = 76.71/x
  3. Step 3: Cross multiply
    78.76x = 117.60 × 76.71
  4. Step 4: Simplify right side
    78.76x = 9,021.10
  5. Step 5: Solve for x
    x = 9,021.10/78.76
  6. Step 6: Final answer
    x = 114.54

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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.