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Finding the Fourth Proportional to 105.86, 159.03 and 92.31

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Solution

The fourth proportional to 105.86, 159.03 and 92.31 is: 138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 159.03 = 92.31 : x
  2. Step 2: Convert to fraction form
    105.86/159.03 = 92.31/x
  3. Step 3: Cross multiply
    105.86x = 159.03 × 92.31
  4. Step 4: Simplify right side
    105.86x = 14,680.06
  5. Step 5: Solve for x
    x = 14,680.06/105.86
  6. Step 6: Final answer
    x = 138.68

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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.