Finding the Fourth Proportional to 82,576.16, 123,864.24 and 35,828
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Solution
The fourth proportional to 82,576.16, 123,864.24 and 35,828 is: 53,742
Step by Step Solution
- Step 1: Write the proportion equation
82,576.16 : 123,864.24 = 35,828 : x - Step 2: Convert to fraction form
82,576.16/123,864.24 = 35,828/x - Step 3: Cross multiply
82,576.16x = 123,864.24 × 35,828 - Step 4: Simplify right side
82,576.16x = 4,437,807,990.72 - Step 5: Solve for x
x = 4,437,807,990.72/82,576.16 - Step 6: Final answer
x = 53,742
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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.