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Finding the Fourth Proportional to 125.74, 188.45 and 57.19

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Solution

The fourth proportional to 125.74, 188.45 and 57.19 is: 85.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.74 : 188.45 = 57.19 : x
  2. Step 2: Convert to fraction form
    125.74/188.45 = 57.19/x
  3. Step 3: Cross multiply
    125.74x = 188.45 × 57.19
  4. Step 4: Simplify right side
    125.74x = 10,777.46
  5. Step 5: Solve for x
    x = 10,777.46/125.74
  6. Step 6: Final answer
    x = 85.71

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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.