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Finding the Fourth Proportional to 105.79, 159.32 and 92.43

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Solution

The fourth proportional to 105.79, 159.32 and 92.43 is: 139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.79 : 159.32 = 92.43 : x
  2. Step 2: Convert to fraction form
    105.79/159.32 = 92.43/x
  3. Step 3: Cross multiply
    105.79x = 159.32 × 92.43
  4. Step 4: Simplify right side
    105.79x = 14,725.95
  5. Step 5: Solve for x
    x = 14,725.95/105.79
  6. Step 6: Final answer
    x = 139.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.