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Finding the Fourth Proportional to 84.60, 125.82 and 84.24

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Solution

The fourth proportional to 84.60, 125.82 and 84.24 is: 125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.60 : 125.82 = 84.24 : x
  2. Step 2: Convert to fraction form
    84.60/125.82 = 84.24/x
  3. Step 3: Cross multiply
    84.60x = 125.82 × 84.24
  4. Step 4: Simplify right side
    84.60x = 10,599.08
  5. Step 5: Solve for x
    x = 10,599.08/84.60
  6. Step 6: Final answer
    x = 125.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.