Finding the Fourth Proportional to 204,930.18, 282,805.20 and 114,292.08
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Solution
The fourth proportional to 204,930.18, 282,805.20 and 114,292.08 is: 157,723.94
Step by Step Solution
- Step 1: Write the proportion equation
204,930.18 : 282,805.20 = 114,292.08 : x - Step 2: Convert to fraction form
204,930.18/282,805.20 = 114,292.08/x - Step 3: Cross multiply
204,930.18x = 282,805.20 × 114,292.08 - Step 4: Simplify right side
204,930.18x = 32,322,394,542.82 - Step 5: Solve for x
x = 32,322,394,542.82/204,930.18 - Step 6: Final answer
x = 157,723.94
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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.