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Finding the Fourth Proportional to 84.78, 117.53 and 80.67

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Solution

The fourth proportional to 84.78, 117.53 and 80.67 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 117.53 = 80.67 : x
  2. Step 2: Convert to fraction form
    84.78/117.53 = 80.67/x
  3. Step 3: Cross multiply
    84.78x = 117.53 × 80.67
  4. Step 4: Simplify right side
    84.78x = 9,481.15
  5. Step 5: Solve for x
    x = 9,481.15/84.78
  6. Step 6: Final answer
    x = 111.83

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Find fourth proportional to 42.39, 58.77 and 40.34
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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.