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Finding the Fourth Proportional to 142.70, 196.83 and 90.27

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Solution

The fourth proportional to 142.70, 196.83 and 90.27 is: 124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 196.83 = 90.27 : x
  2. Step 2: Convert to fraction form
    142.70/196.83 = 90.27/x
  3. Step 3: Cross multiply
    142.70x = 196.83 × 90.27
  4. Step 4: Simplify right side
    142.70x = 17,767.98
  5. Step 5: Solve for x
    x = 17,767.98/142.70
  6. Step 6: Final answer
    x = 124.52

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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.