Finding the Fourth Proportional to 206,841.68, 285,433.96 and 126,403.84
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Solution
The fourth proportional to 206,841.68, 285,433.96 and 126,403.84 is: 174,432.68
Step by Step Solution
- Step 1: Write the proportion equation
206,841.68 : 285,433.96 = 126,403.84 : x - Step 2: Convert to fraction form
206,841.68/285,433.96 = 126,403.84/x - Step 3: Cross multiply
206,841.68x = 285,433.96 × 126,403.84 - Step 4: Simplify right side
206,841.68x = 36,079,948,610.41 - Step 5: Solve for x
x = 36,079,948,610.41/206,841.68 - Step 6: Final answer
x = 174,432.68
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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.