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Finding the Fourth Proportional to 86.97, 131.19 and 84.24

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Solution

The fourth proportional to 86.97, 131.19 and 84.24 is: 127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.97 : 131.19 = 84.24 : x
  2. Step 2: Convert to fraction form
    86.97/131.19 = 84.24/x
  3. Step 3: Cross multiply
    86.97x = 131.19 × 84.24
  4. Step 4: Simplify right side
    86.97x = 11,051.84
  5. Step 5: Solve for x
    x = 11,051.84/86.97
  6. Step 6: Final answer
    x = 127.07

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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.