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Finding the Fourth Proportional to 142.67, 196.85 and 125.26

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Solution

The fourth proportional to 142.67, 196.85 and 125.26 is: 172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.67 : 196.85 = 125.26 : x
  2. Step 2: Convert to fraction form
    142.67/196.85 = 125.26/x
  3. Step 3: Cross multiply
    142.67x = 196.85 × 125.26
  4. Step 4: Simplify right side
    142.67x = 24,657.25
  5. Step 5: Solve for x
    x = 24,657.25/142.67
  6. Step 6: Final answer
    x = 172.82

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