Finding the Fourth Proportional to 206,993.12, 310,491.68 and 113,447.84
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Solution
The fourth proportional to 206,993.12, 310,491.68 and 113,447.84 is: 170,172.86
Step by Step Solution
- Step 1: Write the proportion equation
206,993.12 : 310,491.68 = 113,447.84 : x - Step 2: Convert to fraction form
206,993.12/310,491.68 = 113,447.84/x - Step 3: Cross multiply
206,993.12x = 310,491.68 × 113,447.84 - Step 4: Simplify right side
206,993.12x = 35,224,610,433.97 - Step 5: Solve for x
x = 35,224,610,433.97/206,993.12 - Step 6: Final answer
x = 170,172.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.