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Finding the Fourth Proportional to 105.79, 159.05 and 83.24

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Solution

The fourth proportional to 105.79, 159.05 and 83.24 is: 125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.79 : 159.05 = 83.24 : x
  2. Step 2: Convert to fraction form
    105.79/159.05 = 83.24/x
  3. Step 3: Cross multiply
    105.79x = 159.05 × 83.24
  4. Step 4: Simplify right side
    105.79x = 13,238.11
  5. Step 5: Solve for x
    x = 13,238.11/105.79
  6. Step 6: Final answer
    x = 125.14

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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.