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Finding the Fourth Proportional to 78.37, 117.48 and 63.11

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Solution

The fourth proportional to 78.37, 117.48 and 63.11 is: 94.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 117.48 = 63.11 : x
  2. Step 2: Convert to fraction form
    78.37/117.48 = 63.11/x
  3. Step 3: Cross multiply
    78.37x = 117.48 × 63.11
  4. Step 4: Simplify right side
    78.37x = 7,414.69
  5. Step 5: Solve for x
    x = 7,414.69/78.37
  6. Step 6: Final answer
    x = 94.61

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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.