Finding the Fourth Proportional to 205,949.04, 284,205.69 and 115,305.18
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Solution
The fourth proportional to 205,949.04, 284,205.69 and 115,305.18 is: 159,118.92
Step by Step Solution
- Step 1: Write the proportion equation
205,949.04 : 284,205.69 = 115,305.18 : x - Step 2: Convert to fraction form
205,949.04/284,205.69 = 115,305.18/x - Step 3: Cross multiply
205,949.04x = 284,205.69 × 115,305.18 - Step 4: Simplify right side
205,949.04x = 32,770,388,242.47 - Step 5: Solve for x
x = 32,770,388,242.47/205,949.04 - Step 6: Final answer
x = 159,118.92
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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.