Finding the Fourth Proportional to 206,363.99, 284,796.92 and 114,513.32
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Solution
The fourth proportional to 206,363.99, 284,796.92 and 114,513.32 is: 158,036.49
Step by Step Solution
- Step 1: Write the proportion equation
206,363.99 : 284,796.92 = 114,513.32 : x - Step 2: Convert to fraction form
206,363.99/284,796.92 = 114,513.32/x - Step 3: Cross multiply
206,363.99x = 284,796.92 × 114,513.32 - Step 4: Simplify right side
206,363.99x = 32,613,040,262.41 - Step 5: Solve for x
x = 32,613,040,262.41/206,363.99 - Step 6: Final answer
x = 158,036.49
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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.