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Finding the Fourth Proportional to 125.78, 173.22 and 114.17

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Solution

The fourth proportional to 125.78, 173.22 and 114.17 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 173.22 = 114.17 : x
  2. Step 2: Convert to fraction form
    125.78/173.22 = 114.17/x
  3. Step 3: Cross multiply
    125.78x = 173.22 × 114.17
  4. Step 4: Simplify right side
    125.78x = 19,776.53
  5. Step 5: Solve for x
    x = 19,776.53/125.78
  6. Step 6: Final answer
    x = 157.23

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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.