Finding the Fourth Proportional to 213,745.05, 294,971.09 and 133,205.13
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Solution
The fourth proportional to 213,745.05, 294,971.09 and 133,205.13 is: 183,824.90
Step by Step Solution
- Step 1: Write the proportion equation
213,745.05 : 294,971.09 = 133,205.13 : x - Step 2: Convert to fraction form
213,745.05/294,971.09 = 133,205.13/x - Step 3: Cross multiply
213,745.05x = 294,971.09 × 133,205.13 - Step 4: Simplify right side
213,745.05x = 39,291,661,723.67 - Step 5: Solve for x
x = 39,291,661,723.67/213,745.05 - Step 6: Final answer
x = 183,824.90
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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.