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Finding the Fourth Proportional to 142.65, 196.74 and 101.21

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Solution

The fourth proportional to 142.65, 196.74 and 101.21 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 196.74 = 101.21 : x
  2. Step 2: Convert to fraction form
    142.65/196.74 = 101.21/x
  3. Step 3: Cross multiply
    142.65x = 196.74 × 101.21
  4. Step 4: Simplify right side
    142.65x = 19,912.06
  5. Step 5: Solve for x
    x = 19,912.06/142.65
  6. Step 6: Final answer
    x = 139.59

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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.