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Finding the Fourth Proportional to 77.94, 117.24 and 67.90

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Solution

The fourth proportional to 77.94, 117.24 and 67.90 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.94 : 117.24 = 67.90 : x
  2. Step 2: Convert to fraction form
    77.94/117.24 = 67.90/x
  3. Step 3: Cross multiply
    77.94x = 117.24 × 67.90
  4. Step 4: Simplify right side
    77.94x = 7,960.60
  5. Step 5: Solve for x
    x = 7,960.60/77.94
  6. Step 6: Final answer
    x = 102.14

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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.