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Finding the Fourth Proportional to 86.37, 119.19 and 49.54

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Solution

The fourth proportional to 86.37, 119.19 and 49.54 is: 68.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.37 : 119.19 = 49.54 : x
  2. Step 2: Convert to fraction form
    86.37/119.19 = 49.54/x
  3. Step 3: Cross multiply
    86.37x = 119.19 × 49.54
  4. Step 4: Simplify right side
    86.37x = 5,904.67
  5. Step 5: Solve for x
    x = 5,904.67/86.37
  6. Step 6: Final answer
    x = 68.36

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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.