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Finding the Fourth Proportional to 86.57, 130.50 and 80.69

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Solution

The fourth proportional to 86.57, 130.50 and 80.69 is: 121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.57 : 130.50 = 80.69 : x
  2. Step 2: Convert to fraction form
    86.57/130.50 = 80.69/x
  3. Step 3: Cross multiply
    86.57x = 130.50 × 80.69
  4. Step 4: Simplify right side
    86.57x = 10,530.17
  5. Step 5: Solve for x
    x = 10,530.17/86.57
  6. Step 6: Final answer
    x = 121.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.