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Finding the Fourth Proportional to 85.59, 129.13 and 83.16

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Solution

The fourth proportional to 85.59, 129.13 and 83.16 is: 125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.59 : 129.13 = 83.16 : x
  2. Step 2: Convert to fraction form
    85.59/129.13 = 83.16/x
  3. Step 3: Cross multiply
    85.59x = 129.13 × 83.16
  4. Step 4: Simplify right side
    85.59x = 10,738.24
  5. Step 5: Solve for x
    x = 10,738.24/85.59
  6. Step 6: Final answer
    x = 125.46

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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.