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Finding the Fourth Proportional to 50,789, 76,183.68 and 13,853

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Solution

The fourth proportional to 50,789, 76,183.68 and 13,853 is: 20,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,789 : 76,183.68 = 13,853 : x
  2. Step 2: Convert to fraction form
    50,789/76,183.68 = 13,853/x
  3. Step 3: Cross multiply
    50,789x = 76,183.68 × 13,853
  4. Step 4: Simplify right side
    50,789x = 1,055,372,519.04
  5. Step 5: Solve for x
    x = 1,055,372,519.04/50,789
  6. Step 6: Final answer
    x = 20,779.55

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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.