Finding the Fourth Proportional to 106,405.26, 159,609.54 and 31,532.94
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Solution
The fourth proportional to 106,405.26, 159,609.54 and 31,532.94 is: 47,299.90
Step by Step Solution
- Step 1: Write the proportion equation
106,405.26 : 159,609.54 = 31,532.94 : x - Step 2: Convert to fraction form
106,405.26/159,609.54 = 31,532.94/x - Step 3: Cross multiply
106,405.26x = 159,609.54 × 31,532.94 - Step 4: Simplify right side
106,405.26x = 5,032,958,048.25 - Step 5: Solve for x
x = 5,032,958,048.25/106,405.26 - Step 6: Final answer
x = 47,299.90
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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.