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Finding the Fourth Proportional to 105.46, 158.22 and 78.46

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Solution

The fourth proportional to 105.46, 158.22 and 78.46 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 158.22 = 78.46 : x
  2. Step 2: Convert to fraction form
    105.46/158.22 = 78.46/x
  3. Step 3: Cross multiply
    105.46x = 158.22 × 78.46
  4. Step 4: Simplify right side
    105.46x = 12,413.94
  5. Step 5: Solve for x
    x = 12,413.94/105.46
  6. Step 6: Final answer
    x = 117.71

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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.