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Finding the Fourth Proportional to 51,728.70, 77,593.05 and 20,563.95

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Solution

The fourth proportional to 51,728.70, 77,593.05 and 20,563.95 is: 30,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728.70 : 77,593.05 = 20,563.95 : x
  2. Step 2: Convert to fraction form
    51,728.70/77,593.05 = 20,563.95/x
  3. Step 3: Cross multiply
    51,728.70x = 77,593.05 × 20,563.95
  4. Step 4: Simplify right side
    51,728.70x = 1,595,619,600.55
  5. Step 5: Solve for x
    x = 1,595,619,600.55/51,728.70
  6. Step 6: Final answer
    x = 30,845.93

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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.