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Finding the Fourth Proportional to 142.70, 196.74 and 101.16

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Solution

The fourth proportional to 142.70, 196.74 and 101.16 is: 139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 196.74 = 101.16 : x
  2. Step 2: Convert to fraction form
    142.70/196.74 = 101.16/x
  3. Step 3: Cross multiply
    142.70x = 196.74 × 101.16
  4. Step 4: Simplify right side
    142.70x = 19,902.22
  5. Step 5: Solve for x
    x = 19,902.22/142.70
  6. Step 6: Final answer
    x = 139.47

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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.