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Finding the Fourth Proportional to 136.80, 204.84 and 104.76

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Solution

The fourth proportional to 136.80, 204.84 and 104.76 is: 156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 204.84 = 104.76 : x
  2. Step 2: Convert to fraction form
    136.80/204.84 = 104.76/x
  3. Step 3: Cross multiply
    136.80x = 204.84 × 104.76
  4. Step 4: Simplify right side
    136.80x = 21,459.04
  5. Step 5: Solve for x
    x = 21,459.04/136.80
  6. Step 6: Final answer
    x = 156.86

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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.