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Finding the Fourth Proportional to 57,706, 86,559 and 13,930

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Solution

The fourth proportional to 57,706, 86,559 and 13,930 is: 20,895

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706 : 86,559 = 13,930 : x
  2. Step 2: Convert to fraction form
    57,706/86,559 = 13,930/x
  3. Step 3: Cross multiply
    57,706x = 86,559 × 13,930
  4. Step 4: Simplify right side
    57,706x = 1,205,766,870
  5. Step 5: Solve for x
    x = 1,205,766,870/57,706
  6. Step 6: Final answer
    x = 20,895

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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.