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Finding the Fourth Proportional to 136.98, 188.64 and 116.09

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Solution

The fourth proportional to 136.98, 188.64 and 116.09 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.98 : 188.64 = 116.09 : x
  2. Step 2: Convert to fraction form
    136.98/188.64 = 116.09/x
  3. Step 3: Cross multiply
    136.98x = 188.64 × 116.09
  4. Step 4: Simplify right side
    136.98x = 21,898.27
  5. Step 5: Solve for x
    x = 21,898.27/136.98
  6. Step 6: Final answer
    x = 159.86

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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.