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Finding the Fourth Proportional to 136.02, 187.71 and 103.21

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Solution

The fourth proportional to 136.02, 187.71 and 103.21 is: 142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.02 : 187.71 = 103.21 : x
  2. Step 2: Convert to fraction form
    136.02/187.71 = 103.21/x
  3. Step 3: Cross multiply
    136.02x = 187.71 × 103.21
  4. Step 4: Simplify right side
    136.02x = 19,373.55
  5. Step 5: Solve for x
    x = 19,373.55/136.02
  6. Step 6: Final answer
    x = 142.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.