Finding the Fourth Proportional to 206,028.72, 284,296.14 and 115,372.08
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Solution
The fourth proportional to 206,028.72, 284,296.14 and 115,372.08 is: 159,200.31
Step by Step Solution
- Step 1: Write the proportion equation
206,028.72 : 284,296.14 = 115,372.08 : x - Step 2: Convert to fraction form
206,028.72/284,296.14 = 115,372.08/x - Step 3: Cross multiply
206,028.72x = 284,296.14 × 115,372.08 - Step 4: Simplify right side
206,028.72x = 32,799,837,007.77 - Step 5: Solve for x
x = 32,799,837,007.77/206,028.72 - Step 6: Final answer
x = 159,200.31
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.