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Finding the Fourth Proportional to 105.48, 157.85 and 81.48

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Solution

The fourth proportional to 105.48, 157.85 and 81.48 is: 121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 157.85 = 81.48 : x
  2. Step 2: Convert to fraction form
    105.48/157.85 = 81.48/x
  3. Step 3: Cross multiply
    105.48x = 157.85 × 81.48
  4. Step 4: Simplify right side
    105.48x = 12,860.83
  5. Step 5: Solve for x
    x = 12,860.83/105.48
  6. Step 6: Final answer
    x = 121.93

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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.