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Finding the Fourth Proportional to 125,676, 188,514 and 38,124

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Solution

The fourth proportional to 125,676, 188,514 and 38,124 is: 57,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,676 : 188,514 = 38,124 : x
  2. Step 2: Convert to fraction form
    125,676/188,514 = 38,124/x
  3. Step 3: Cross multiply
    125,676x = 188,514 × 38,124
  4. Step 4: Simplify right side
    125,676x = 7,186,907,736
  5. Step 5: Solve for x
    x = 7,186,907,736/125,676
  6. Step 6: Final answer
    x = 57,186

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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.