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Finding the Fourth Proportional to 125,678, 188,517 and 38,126

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Solution

The fourth proportional to 125,678, 188,517 and 38,126 is: 57,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678 : 188,517 = 38,126 : x
  2. Step 2: Convert to fraction form
    125,678/188,517 = 38,126/x
  3. Step 3: Cross multiply
    125,678x = 188,517 × 38,126
  4. Step 4: Simplify right side
    125,678x = 7,187,399,142
  5. Step 5: Solve for x
    x = 7,187,399,142/125,678
  6. Step 6: Final answer
    x = 57,189

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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.