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Finding the Fourth Proportional to 86.19, 118.97 and 51.69

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Solution

The fourth proportional to 86.19, 118.97 and 51.69 is: 71.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.19 : 118.97 = 51.69 : x
  2. Step 2: Convert to fraction form
    86.19/118.97 = 51.69/x
  3. Step 3: Cross multiply
    86.19x = 118.97 × 51.69
  4. Step 4: Simplify right side
    86.19x = 6,149.56
  5. Step 5: Solve for x
    x = 6,149.56/86.19
  6. Step 6: Final answer
    x = 71.35

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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.