Finding the Fourth Proportional to 206,143.24, 284,501.28 and 115,523.68
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Solution
The fourth proportional to 206,143.24, 284,501.28 and 115,523.68 is: 159,435.91
Step by Step Solution
- Step 1: Write the proportion equation
206,143.24 : 284,501.28 = 115,523.68 : x - Step 2: Convert to fraction form
206,143.24/284,501.28 = 115,523.68/x - Step 3: Cross multiply
206,143.24x = 284,501.28 × 115,523.68 - Step 4: Simplify right side
206,143.24x = 32,866,634,830.31 - Step 5: Solve for x
x = 32,866,634,830.31/206,143.24 - Step 6: Final answer
x = 159,435.91
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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.