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Finding the Fourth Proportional to 142.86, 196.30 and 136.50

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Solution

The fourth proportional to 142.86, 196.30 and 136.50 is: 187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 196.30 = 136.50 : x
  2. Step 2: Convert to fraction form
    142.86/196.30 = 136.50/x
  3. Step 3: Cross multiply
    142.86x = 196.30 × 136.50
  4. Step 4: Simplify right side
    142.86x = 26,794.95
  5. Step 5: Solve for x
    x = 26,794.95/142.86
  6. Step 6: Final answer
    x = 187.56

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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.