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Finding the Fourth Proportional to 125.85, 189.63 and 104.65

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Solution

The fourth proportional to 125.85, 189.63 and 104.65 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.85 : 189.63 = 104.65 : x
  2. Step 2: Convert to fraction form
    125.85/189.63 = 104.65/x
  3. Step 3: Cross multiply
    125.85x = 189.63 × 104.65
  4. Step 4: Simplify right side
    125.85x = 19,844.78
  5. Step 5: Solve for x
    x = 19,844.78/125.85
  6. Step 6: Final answer
    x = 157.69

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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.