Finding the Fourth Proportional to 205,644.06, 283,786.84 and 114,998.98
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Solution
The fourth proportional to 205,644.06, 283,786.84 and 114,998.98 is: 158,697.49
Step by Step Solution
- Step 1: Write the proportion equation
205,644.06 : 283,786.84 = 114,998.98 : x - Step 2: Convert to fraction form
205,644.06/283,786.84 = 114,998.98/x - Step 3: Cross multiply
205,644.06x = 283,786.84 × 114,998.98 - Step 4: Simplify right side
205,644.06x = 32,635,197,137.42 - Step 5: Solve for x
x = 32,635,197,137.42/205,644.06 - Step 6: Final answer
x = 158,697.49
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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.