Finding the Fourth Proportional to 106,512.84, 159,741.84 and 31,615.26
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Solution
The fourth proportional to 106,512.84, 159,741.84 and 31,615.26 is: 47,414.75
Step by Step Solution
- Step 1: Write the proportion equation
106,512.84 : 159,741.84 = 31,615.26 : x - Step 2: Convert to fraction form
106,512.84/159,741.84 = 31,615.26/x - Step 3: Cross multiply
106,512.84x = 159,741.84 × 31,615.26 - Step 4: Simplify right side
106,512.84x = 5,050,279,804.48 - Step 5: Solve for x
x = 5,050,279,804.48/106,512.84 - Step 6: Final answer
x = 47,414.75
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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.