Finding the Fourth Proportional to 81,465.48, 122,122.49 and 31,578.12
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Solution
The fourth proportional to 81,465.48, 122,122.49 and 31,578.12 is: 47,337.82
Step by Step Solution
- Step 1: Write the proportion equation
81,465.48 : 122,122.49 = 31,578.12 : x - Step 2: Convert to fraction form
81,465.48/122,122.49 = 31,578.12/x - Step 3: Cross multiply
81,465.48x = 122,122.49 × 31,578.12 - Step 4: Simplify right side
81,465.48x = 3,856,398,486.03 - Step 5: Solve for x
x = 3,856,398,486.03/81,465.48 - Step 6: Final answer
x = 47,337.82
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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.