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Finding the Fourth Proportional to 34,200, 51,151.76 and 20,126.48

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Solution

The fourth proportional to 34,200, 51,151.76 and 20,126.48 is: 30,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200 : 51,151.76 = 20,126.48 : x
  2. Step 2: Convert to fraction form
    34,200/51,151.76 = 20,126.48/x
  3. Step 3: Cross multiply
    34,200x = 51,151.76 × 20,126.48
  4. Step 4: Simplify right side
    34,200x = 1,029,504,874.60
  5. Step 5: Solve for x
    x = 1,029,504,874.60/34,200
  6. Step 6: Final answer
    x = 30,102.48

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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.