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Finding the Fourth Proportional to 85.16, 126.26 and 83.90

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Solution

The fourth proportional to 85.16, 126.26 and 83.90 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.16 : 126.26 = 83.90 : x
  2. Step 2: Convert to fraction form
    85.16/126.26 = 83.90/x
  3. Step 3: Cross multiply
    85.16x = 126.26 × 83.90
  4. Step 4: Simplify right side
    85.16x = 10,593.21
  5. Step 5: Solve for x
    x = 10,593.21/85.16
  6. Step 6: Final answer
    x = 124.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.