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Finding the Fourth Proportional to 125.99, 188.78 and 82.58

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Solution

The fourth proportional to 125.99, 188.78 and 82.58 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.99 : 188.78 = 82.58 : x
  2. Step 2: Convert to fraction form
    125.99/188.78 = 82.58/x
  3. Step 3: Cross multiply
    125.99x = 188.78 × 82.58
  4. Step 4: Simplify right side
    125.99x = 15,588.71
  5. Step 5: Solve for x
    x = 15,588.71/125.99
  6. Step 6: Final answer
    x = 123.73

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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.