Finding the Fourth Proportional to 206,842.19, 309,974.09 and 111,867.26
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Solution
The fourth proportional to 206,842.19, 309,974.09 and 111,867.26 is: 167,644.48
Step by Step Solution
- Step 1: Write the proportion equation
206,842.19 : 309,974.09 = 111,867.26 : x - Step 2: Convert to fraction form
206,842.19/309,974.09 = 111,867.26/x - Step 3: Cross multiply
206,842.19x = 309,974.09 × 111,867.26 - Step 4: Simplify right side
206,842.19x = 34,675,950,010.09 - Step 5: Solve for x
x = 34,675,950,010.09/206,842.19 - Step 6: Final answer
x = 167,644.48
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1.5x scale
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.