Finding the Fourth Proportional to 149,229.41, 205,930.36 and 82,157.09
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Solution
The fourth proportional to 149,229.41, 205,930.36 and 82,157.09 is: 113,373.36
Step by Step Solution
- Step 1: Write the proportion equation
149,229.41 : 205,930.36 = 82,157.09 : x - Step 2: Convert to fraction form
149,229.41/205,930.36 = 82,157.09/x - Step 3: Cross multiply
149,229.41x = 205,930.36 × 82,157.09 - Step 4: Simplify right side
149,229.41x = 16,918,639,120.25 - Step 5: Solve for x
x = 16,918,639,120.25/149,229.41 - Step 6: Final answer
x = 113,373.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.