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Finding the Fourth Proportional to 57,774, 86,661 and 13,998

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Solution

The fourth proportional to 57,774, 86,661 and 13,998 is: 20,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,774 : 86,661 = 13,998 : x
  2. Step 2: Convert to fraction form
    57,774/86,661 = 13,998/x
  3. Step 3: Cross multiply
    57,774x = 86,661 × 13,998
  4. Step 4: Simplify right side
    57,774x = 1,213,080,678
  5. Step 5: Solve for x
    x = 1,213,080,678/57,774
  6. Step 6: Final answer
    x = 20,997

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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.