Finding the Fourth Proportional to 81,902.44, 122,862.05 and 31,343.99
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Solution
The fourth proportional to 81,902.44, 122,862.05 and 31,343.99 is: 47,019.20
Step by Step Solution
- Step 1: Write the proportion equation
81,902.44 : 122,862.05 = 31,343.99 : x - Step 2: Convert to fraction form
81,902.44/122,862.05 = 31,343.99/x - Step 3: Cross multiply
81,902.44x = 122,862.05 × 31,343.99 - Step 4: Simplify right side
81,902.44x = 3,850,987,336.13 - Step 5: Solve for x
x = 3,850,987,336.13/81,902.44 - Step 6: Final answer
x = 47,019.20
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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.