Finding the Fourth Proportional to 208,658.41, 287,945.76 and 113,163.19
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Solution
The fourth proportional to 208,658.41, 287,945.76 and 113,163.19 is: 156,163.66
Step by Step Solution
- Step 1: Write the proportion equation
208,658.41 : 287,945.76 = 113,163.19 : x - Step 2: Convert to fraction form
208,658.41/287,945.76 = 113,163.19/x - Step 3: Cross multiply
208,658.41x = 287,945.76 × 113,163.19 - Step 4: Simplify right side
208,658.41x = 32,584,860,748.57 - Step 5: Solve for x
x = 32,584,860,748.57/208,658.41 - Step 6: Final answer
x = 156,163.66
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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.