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Finding the Fourth Proportional to 105.85, 159.14 and 83.30

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Solution

The fourth proportional to 105.85, 159.14 and 83.30 is: 125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 159.14 = 83.30 : x
  2. Step 2: Convert to fraction form
    105.85/159.14 = 83.30/x
  3. Step 3: Cross multiply
    105.85x = 159.14 × 83.30
  4. Step 4: Simplify right side
    105.85x = 13,255.31
  5. Step 5: Solve for x
    x = 13,255.31/105.85
  6. Step 6: Final answer
    x = 125.23

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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.