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Finding the Fourth Proportional to 77.63, 115.81 and 74.82

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Solution

The fourth proportional to 77.63, 115.81 and 74.82 is: 111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 115.81 = 74.82 : x
  2. Step 2: Convert to fraction form
    77.63/115.81 = 74.82/x
  3. Step 3: Cross multiply
    77.63x = 115.81 × 74.82
  4. Step 4: Simplify right side
    77.63x = 8,664.72
  5. Step 5: Solve for x
    x = 8,664.72/77.63
  6. Step 6: Final answer
    x = 111.62

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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.