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Finding the Fourth Proportional to 339,161, 508,751.22 and 89,843

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Solution

The fourth proportional to 339,161, 508,751.22 and 89,843 is: 134,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,161 : 508,751.22 = 89,843 : x
  2. Step 2: Convert to fraction form
    339,161/508,751.22 = 89,843/x
  3. Step 3: Cross multiply
    339,161x = 508,751.22 × 89,843
  4. Step 4: Simplify right side
    339,161x = 45,707,735,858.46
  5. Step 5: Solve for x
    x = 45,707,735,858.46/339,161
  6. Step 6: Final answer
    x = 134,767.07

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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.