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Finding the Fourth Proportional to 133.84, 199.85 and 125.13

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Solution

The fourth proportional to 133.84, 199.85 and 125.13 is: 186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.84 : 199.85 = 125.13 : x
  2. Step 2: Convert to fraction form
    133.84/199.85 = 125.13/x
  3. Step 3: Cross multiply
    133.84x = 199.85 × 125.13
  4. Step 4: Simplify right side
    133.84x = 25,006.25
  5. Step 5: Solve for x
    x = 25,006.25/133.84
  6. Step 6: Final answer
    x = 186.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.