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Finding the Fourth Proportional to 103.62, 141.15 and 101.60

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Solution

The fourth proportional to 103.62, 141.15 and 101.60 is: 138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.62 : 141.15 = 101.60 : x
  2. Step 2: Convert to fraction form
    103.62/141.15 = 101.60/x
  3. Step 3: Cross multiply
    103.62x = 141.15 × 101.60
  4. Step 4: Simplify right side
    103.62x = 14,340.13
  5. Step 5: Solve for x
    x = 14,340.13/103.62
  6. Step 6: Final answer
    x = 138.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.