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Finding the Fourth Proportional to 125.74, 173.56 and 84.28

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Solution

The fourth proportional to 125.74, 173.56 and 84.28 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.74 : 173.56 = 84.28 : x
  2. Step 2: Convert to fraction form
    125.74/173.56 = 84.28/x
  3. Step 3: Cross multiply
    125.74x = 173.56 × 84.28
  4. Step 4: Simplify right side
    125.74x = 14,627.64
  5. Step 5: Solve for x
    x = 14,627.64/125.74
  6. Step 6: Final answer
    x = 116.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.