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Finding the Fourth Proportional to 136.17, 203.86 and 78.29

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Solution

The fourth proportional to 136.17, 203.86 and 78.29 is: 117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.17 : 203.86 = 78.29 : x
  2. Step 2: Convert to fraction form
    136.17/203.86 = 78.29/x
  3. Step 3: Cross multiply
    136.17x = 203.86 × 78.29
  4. Step 4: Simplify right side
    136.17x = 15,958.98
  5. Step 5: Solve for x
    x = 15,958.98/136.17
  6. Step 6: Final answer
    x = 117.20

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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.