Finding the Fourth Proportional to 204,486.70, 282,186.16 and 113,842.68
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Solution
The fourth proportional to 204,486.70, 282,186.16 and 113,842.68 is: 157,099.84
Step by Step Solution
- Step 1: Write the proportion equation
204,486.70 : 282,186.16 = 113,842.68 : x - Step 2: Convert to fraction form
204,486.70/282,186.16 = 113,842.68/x - Step 3: Cross multiply
204,486.70x = 282,186.16 × 113,842.68 - Step 4: Simplify right side
204,486.70x = 32,124,828,713.31 - Step 5: Solve for x
x = 32,124,828,713.31/204,486.70 - Step 6: Final answer
x = 157,099.84
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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.