Finding the Fourth Proportional to 204,891.12, 282,766.68 and 114,234.84
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Solution
The fourth proportional to 204,891.12, 282,766.68 and 114,234.84 is: 157,653.52
Step by Step Solution
- Step 1: Write the proportion equation
204,891.12 : 282,766.68 = 114,234.84 : x - Step 2: Convert to fraction form
204,891.12/282,766.68 = 114,234.84/x - Step 3: Cross multiply
204,891.12x = 282,766.68 × 114,234.84 - Step 4: Simplify right side
204,891.12x = 32,301,806,447.13 - Step 5: Solve for x
x = 32,301,806,447.13/204,891.12 - Step 6: Final answer
x = 157,653.52
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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.