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Finding the Fourth Proportional to 86.16, 129.86 and 82.50

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Solution

The fourth proportional to 86.16, 129.86 and 82.50 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.16 : 129.86 = 82.50 : x
  2. Step 2: Convert to fraction form
    86.16/129.86 = 82.50/x
  3. Step 3: Cross multiply
    86.16x = 129.86 × 82.50
  4. Step 4: Simplify right side
    86.16x = 10,713.45
  5. Step 5: Solve for x
    x = 10,713.45/86.16
  6. Step 6: Final answer
    x = 124.34

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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.