Finding the Fourth Proportional to 129,944.26, 194,916.40 and 31,448.26
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Solution
The fourth proportional to 129,944.26, 194,916.40 and 31,448.26 is: 47,172.39
Step by Step Solution
- Step 1: Write the proportion equation
129,944.26 : 194,916.40 = 31,448.26 : x - Step 2: Convert to fraction form
129,944.26/194,916.40 = 31,448.26/x - Step 3: Cross multiply
129,944.26x = 194,916.40 × 31,448.26 - Step 4: Simplify right side
129,944.26x = 6,129,781,625.46 - Step 5: Solve for x
x = 6,129,781,625.46/129,944.26 - Step 6: Final answer
x = 47,172.39
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1.5x scale
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.