Finding the Fourth Proportional to 206,008.64, 284,296.96 and 115,363.84
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Solution
The fourth proportional to 206,008.64, 284,296.96 and 115,363.84 is: 159,204.92
Step by Step Solution
- Step 1: Write the proportion equation
206,008.64 : 284,296.96 = 115,363.84 : x - Step 2: Convert to fraction form
206,008.64/284,296.96 = 115,363.84/x - Step 3: Cross multiply
206,008.64x = 284,296.96 × 115,363.84 - Step 4: Simplify right side
206,008.64x = 32,797,589,005.93 - Step 5: Solve for x
x = 32,797,589,005.93/206,008.64 - Step 6: Final answer
x = 159,204.92
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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.