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Finding the Fourth Proportional to 51,379.76, 77,050.20 and 20,198

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Solution

The fourth proportional to 51,379.76, 77,050.20 and 20,198 is: 30,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,379.76 : 77,050.20 = 20,198 : x
  2. Step 2: Convert to fraction form
    51,379.76/77,050.20 = 20,198/x
  3. Step 3: Cross multiply
    51,379.76x = 77,050.20 × 20,198
  4. Step 4: Simplify right side
    51,379.76x = 1,556,259,939.60
  5. Step 5: Solve for x
    x = 1,556,259,939.60/51,379.76
  6. Step 6: Final answer
    x = 30,289.36

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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.