Finding the Fourth Proportional to 106,510.84, 159,738.84 and 31,613.26
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Solution
The fourth proportional to 106,510.84, 159,738.84 and 31,613.26 is: 47,411.75
Step by Step Solution
- Step 1: Write the proportion equation
106,510.84 : 159,738.84 = 31,613.26 : x - Step 2: Convert to fraction form
106,510.84/159,738.84 = 31,613.26/x - Step 3: Cross multiply
106,510.84x = 159,738.84 × 31,613.26 - Step 4: Simplify right side
106,510.84x = 5,049,865,481.02 - Step 5: Solve for x
x = 5,049,865,481.02/106,510.84 - Step 6: Final answer
x = 47,411.75
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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.