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Finding the Fourth Proportional to 77.73, 115.95 and 70.74

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Solution

The fourth proportional to 77.73, 115.95 and 70.74 is: 105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.73 : 115.95 = 70.74 : x
  2. Step 2: Convert to fraction form
    77.73/115.95 = 70.74/x
  3. Step 3: Cross multiply
    77.73x = 115.95 × 70.74
  4. Step 4: Simplify right side
    77.73x = 8,202.30
  5. Step 5: Solve for x
    x = 8,202.30/77.73
  6. Step 6: Final answer
    x = 105.52

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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.