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Finding the Fourth Proportional to 125.75, 188.72 and 74.23

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Solution

The fourth proportional to 125.75, 188.72 and 74.23 is: 111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 188.72 = 74.23 : x
  2. Step 2: Convert to fraction form
    125.75/188.72 = 74.23/x
  3. Step 3: Cross multiply
    125.75x = 188.72 × 74.23
  4. Step 4: Simplify right side
    125.75x = 14,008.69
  5. Step 5: Solve for x
    x = 14,008.69/125.75
  6. Step 6: Final answer
    x = 111.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.