Finding the Fourth Proportional to 206,292.31, 284,706.99 and 115,672.75
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Solution
The fourth proportional to 206,292.31, 284,706.99 and 115,672.75 is: 159,641.63
Step by Step Solution
- Step 1: Write the proportion equation
206,292.31 : 284,706.99 = 115,672.75 : x - Step 2: Convert to fraction form
206,292.31/284,706.99 = 115,672.75/x - Step 3: Cross multiply
206,292.31x = 284,706.99 × 115,672.75 - Step 4: Simplify right side
206,292.31x = 32,932,840,477.52 - Step 5: Solve for x
x = 32,932,840,477.52/206,292.31 - Step 6: Final answer
x = 159,641.63
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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.