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Finding the Fourth Proportional to 136.57, 188.49 and 78.37

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Solution

The fourth proportional to 136.57, 188.49 and 78.37 is: 108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.57 : 188.49 = 78.37 : x
  2. Step 2: Convert to fraction form
    136.57/188.49 = 78.37/x
  3. Step 3: Cross multiply
    136.57x = 188.49 × 78.37
  4. Step 4: Simplify right side
    136.57x = 14,771.96
  5. Step 5: Solve for x
    x = 14,771.96/136.57
  6. Step 6: Final answer
    x = 108.16

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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.