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Finding the Fourth Proportional to 75,513, 113,269.86 and 20,109

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Solution

The fourth proportional to 75,513, 113,269.86 and 20,109 is: 30,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,513 : 113,269.86 = 20,109 : x
  2. Step 2: Convert to fraction form
    75,513/113,269.86 = 20,109/x
  3. Step 3: Cross multiply
    75,513x = 113,269.86 × 20,109
  4. Step 4: Simplify right side
    75,513x = 2,277,743,614.74
  5. Step 5: Solve for x
    x = 2,277,743,614.74/75,513
  6. Step 6: Final answer
    x = 30,163.60

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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.