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Finding the Fourth Proportional to 142.72, 196.86 and 113.68

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Solution

The fourth proportional to 142.72, 196.86 and 113.68 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.72 : 196.86 = 113.68 : x
  2. Step 2: Convert to fraction form
    142.72/196.86 = 113.68/x
  3. Step 3: Cross multiply
    142.72x = 196.86 × 113.68
  4. Step 4: Simplify right side
    142.72x = 22,379.04
  5. Step 5: Solve for x
    x = 22,379.04/142.72
  6. Step 6: Final answer
    x = 156.80

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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.