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Finding the Fourth Proportional to 77.63, 115.94 and 67.37

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Solution

The fourth proportional to 77.63, 115.94 and 67.37 is: 100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 115.94 = 67.37 : x
  2. Step 2: Convert to fraction form
    77.63/115.94 = 67.37/x
  3. Step 3: Cross multiply
    77.63x = 115.94 × 67.37
  4. Step 4: Simplify right side
    77.63x = 7,810.88
  5. Step 5: Solve for x
    x = 7,810.88/77.63
  6. Step 6: Final answer
    x = 100.62

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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.