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Finding the Fourth Proportional to 86.58, 118.64 and 83.75

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Solution

The fourth proportional to 86.58, 118.64 and 83.75 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 118.64 = 83.75 : x
  2. Step 2: Convert to fraction form
    86.58/118.64 = 83.75/x
  3. Step 3: Cross multiply
    86.58x = 118.64 × 83.75
  4. Step 4: Simplify right side
    86.58x = 9,935.72
  5. Step 5: Solve for x
    x = 9,935.72/86.58
  6. Step 6: Final answer
    x = 114.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.