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Finding the Fourth Proportional to 142.96, 196.12 and 136.07

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Solution

The fourth proportional to 142.96, 196.12 and 136.07 is: 186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 196.12 = 136.07 : x
  2. Step 2: Convert to fraction form
    142.96/196.12 = 136.07/x
  3. Step 3: Cross multiply
    142.96x = 196.12 × 136.07
  4. Step 4: Simplify right side
    142.96x = 26,686.05
  5. Step 5: Solve for x
    x = 26,686.05/142.96
  6. Step 6: Final answer
    x = 186.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.