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Finding the Fourth Proportional to 105.64, 158.09 and 83.78

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Solution

The fourth proportional to 105.64, 158.09 and 83.78 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 158.09 = 83.78 : x
  2. Step 2: Convert to fraction form
    105.64/158.09 = 83.78/x
  3. Step 3: Cross multiply
    105.64x = 158.09 × 83.78
  4. Step 4: Simplify right side
    105.64x = 13,244.78
  5. Step 5: Solve for x
    x = 13,244.78/105.64
  6. Step 6: Final answer
    x = 125.38

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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.