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Finding the Fourth Proportional to 142.67, 196.96 and 98.93

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Solution

The fourth proportional to 142.67, 196.96 and 98.93 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.67 : 196.96 = 98.93 : x
  2. Step 2: Convert to fraction form
    142.67/196.96 = 98.93/x
  3. Step 3: Cross multiply
    142.67x = 196.96 × 98.93
  4. Step 4: Simplify right side
    142.67x = 19,485.25
  5. Step 5: Solve for x
    x = 19,485.25/142.67
  6. Step 6: Final answer
    x = 136.58

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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.