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Finding the Fourth Proportional to 85.87, 129.59 and 83.01

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Solution

The fourth proportional to 85.87, 129.59 and 83.01 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.87 : 129.59 = 83.01 : x
  2. Step 2: Convert to fraction form
    85.87/129.59 = 83.01/x
  3. Step 3: Cross multiply
    85.87x = 129.59 × 83.01
  4. Step 4: Simplify right side
    85.87x = 10,757.27
  5. Step 5: Solve for x
    x = 10,757.27/85.87
  6. Step 6: Final answer
    x = 125.27

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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.