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Finding the Fourth Proportional to 51,805.44, 77,734.08 and 20,662.56

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Solution

The fourth proportional to 51,805.44, 77,734.08 and 20,662.56 is: 31,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.44 : 77,734.08 = 20,662.56 : x
  2. Step 2: Convert to fraction form
    51,805.44/77,734.08 = 20,662.56/x
  3. Step 3: Cross multiply
    51,805.44x = 77,734.08 × 20,662.56
  4. Step 4: Simplify right side
    51,805.44x = 1,606,185,092.04
  5. Step 5: Solve for x
    x = 1,606,185,092.04/51,805.44
  6. Step 6: Final answer
    x = 31,004.18

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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.