Finding the Fourth Proportional to 205,854.62, 284,063.56 and 115,193.75
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Solution
The fourth proportional to 205,854.62, 284,063.56 and 115,193.75 is: 158,958.52
Step by Step Solution
- Step 1: Write the proportion equation
205,854.62 : 284,063.56 = 115,193.75 : x - Step 2: Convert to fraction form
205,854.62/284,063.56 = 115,193.75/x - Step 3: Cross multiply
205,854.62x = 284,063.56 × 115,193.75 - Step 4: Simplify right side
205,854.62x = 32,722,345,006.45 - Step 5: Solve for x
x = 32,722,345,006.45/205,854.62 - Step 6: Final answer
x = 158,958.52
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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.