Finding the Fourth Proportional to 149,151.09, 205,828.50 and 82,083.09
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Solution
The fourth proportional to 149,151.09, 205,828.50 and 82,083.09 is: 113,274.66
Step by Step Solution
- Step 1: Write the proportion equation
149,151.09 : 205,828.50 = 82,083.09 : x - Step 2: Convert to fraction form
149,151.09/205,828.50 = 82,083.09/x - Step 3: Cross multiply
149,151.09x = 205,828.50 × 82,083.09 - Step 4: Simplify right side
149,151.09x = 16,895,039,290.07 - Step 5: Solve for x
x = 16,895,039,290.07/149,151.09 - Step 6: Final answer
x = 113,274.66
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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.