Finding the Fourth Proportional to 81,882.28, 122,750.38 and 31,950.77
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Solution
The fourth proportional to 81,882.28, 122,750.38 and 31,950.77 is: 47,897.65
Step by Step Solution
- Step 1: Write the proportion equation
81,882.28 : 122,750.38 = 31,950.77 : x - Step 2: Convert to fraction form
81,882.28/122,750.38 = 31,950.77/x - Step 3: Cross multiply
81,882.28x = 122,750.38 × 31,950.77 - Step 4: Simplify right side
81,882.28x = 3,921,968,634.04 - Step 5: Solve for x
x = 3,921,968,634.04/81,882.28 - Step 6: Final answer
x = 47,897.65
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1.5x scale
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.