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Finding the Fourth Proportional to 50,769, 76,180.14 and 20,805.48

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Solution

The fourth proportional to 50,769, 76,180.14 and 20,805.48 is: 31,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769 : 76,180.14 = 20,805.48 : x
  2. Step 2: Convert to fraction form
    50,769/76,180.14 = 20,805.48/x
  3. Step 3: Cross multiply
    50,769x = 76,180.14 × 20,805.48
  4. Step 4: Simplify right side
    50,769x = 1,584,964,379.17
  5. Step 5: Solve for x
    x = 1,584,964,379.17/50,769
  6. Step 6: Final answer
    x = 31,219.14

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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.