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Finding the Fourth Proportional to 125.86, 189.93 and 121.34

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Solution

The fourth proportional to 125.86, 189.93 and 121.34 is: 183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.86 : 189.93 = 121.34 : x
  2. Step 2: Convert to fraction form
    125.86/189.93 = 121.34/x
  3. Step 3: Cross multiply
    125.86x = 189.93 × 121.34
  4. Step 4: Simplify right side
    125.86x = 23,046.11
  5. Step 5: Solve for x
    x = 23,046.11/125.86
  6. Step 6: Final answer
    x = 183.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.