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Finding the Fourth Proportional to 86.46, 118.70 and 76.74

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Solution

The fourth proportional to 86.46, 118.70 and 76.74 is: 105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 118.70 = 76.74 : x
  2. Step 2: Convert to fraction form
    86.46/118.70 = 76.74/x
  3. Step 3: Cross multiply
    86.46x = 118.70 × 76.74
  4. Step 4: Simplify right side
    86.46x = 9,108.65
  5. Step 5: Solve for x
    x = 9,108.65/86.46
  6. Step 6: Final answer
    x = 105.35

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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.