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Finding the Fourth Proportional to 86.80, 119.60 and 73.01

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Solution

The fourth proportional to 86.80, 119.60 and 73.01 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.80 : 119.60 = 73.01 : x
  2. Step 2: Convert to fraction form
    86.80/119.60 = 73.01/x
  3. Step 3: Cross multiply
    86.80x = 119.60 × 73.01
  4. Step 4: Simplify right side
    86.80x = 8,732.58
  5. Step 5: Solve for x
    x = 8,732.58/86.80
  6. Step 6: Final answer
    x = 100.61

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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.