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Finding the Fourth Proportional to 51,229.48, 76,855.56 and 20,065

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Solution

The fourth proportional to 51,229.48, 76,855.56 and 20,065 is: 30,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,229.48 : 76,855.56 = 20,065 : x
  2. Step 2: Convert to fraction form
    51,229.48/76,855.56 = 20,065/x
  3. Step 3: Cross multiply
    51,229.48x = 76,855.56 × 20,065
  4. Step 4: Simplify right side
    51,229.48x = 1,542,106,811.40
  5. Step 5: Solve for x
    x = 1,542,106,811.40/51,229.48
  6. Step 6: Final answer
    x = 30,101.94

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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.