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Finding the Fourth Proportional to 84.45, 117.14 and 78.37

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Solution

The fourth proportional to 84.45, 117.14 and 78.37 is: 108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.45 : 117.14 = 78.37 : x
  2. Step 2: Convert to fraction form
    84.45/117.14 = 78.37/x
  3. Step 3: Cross multiply
    84.45x = 117.14 × 78.37
  4. Step 4: Simplify right side
    84.45x = 9,180.26
  5. Step 5: Solve for x
    x = 9,180.26/84.45
  6. Step 6: Final answer
    x = 108.71

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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.