Finding the Fourth Proportional to 82,588.16, 123,882.24 and 35,840
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Solution
The fourth proportional to 82,588.16, 123,882.24 and 35,840 is: 53,760
Step by Step Solution
- Step 1: Write the proportion equation
82,588.16 : 123,882.24 = 35,840 : x - Step 2: Convert to fraction form
82,588.16/123,882.24 = 35,840/x - Step 3: Cross multiply
82,588.16x = 123,882.24 × 35,840 - Step 4: Simplify right side
82,588.16x = 4,439,939,481.60 - Step 5: Solve for x
x = 4,439,939,481.60/82,588.16 - Step 6: Final answer
x = 53,760
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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.