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Finding the Fourth Proportional to 103.85, 142.55 and 94.59

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Solution

The fourth proportional to 103.85, 142.55 and 94.59 is: 129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.85 : 142.55 = 94.59 : x
  2. Step 2: Convert to fraction form
    103.85/142.55 = 94.59/x
  3. Step 3: Cross multiply
    103.85x = 142.55 × 94.59
  4. Step 4: Simplify right side
    103.85x = 13,482.62
  5. Step 5: Solve for x
    x = 13,482.62/103.85
  6. Step 6: Final answer
    x = 129.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.