Finding the Fourth Proportional to 106,217.48, 159,271.33 and 31,328.09
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Solution
The fourth proportional to 106,217.48, 159,271.33 and 31,328.09 is: 46,975.95
Step by Step Solution
- Step 1: Write the proportion equation
106,217.48 : 159,271.33 = 31,328.09 : x - Step 2: Convert to fraction form
106,217.48/159,271.33 = 31,328.09/x - Step 3: Cross multiply
106,217.48x = 159,271.33 × 31,328.09 - Step 4: Simplify right side
106,217.48x = 4,989,666,560.66 - Step 5: Solve for x
x = 4,989,666,560.66/106,217.48 - Step 6: Final answer
x = 46,975.95
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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.