Finding the Fourth Proportional to 205,769.14, 283,945.22 and 115,117.99
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Solution
The fourth proportional to 205,769.14, 283,945.22 and 115,117.99 is: 158,853.77
Step by Step Solution
- Step 1: Write the proportion equation
205,769.14 : 283,945.22 = 115,117.99 : x - Step 2: Convert to fraction form
205,769.14/283,945.22 = 115,117.99/x - Step 3: Cross multiply
205,769.14x = 283,945.22 × 115,117.99 - Step 4: Simplify right side
205,769.14x = 32,687,202,996.51 - Step 5: Solve for x
x = 32,687,202,996.51/205,769.14 - Step 6: Final answer
x = 158,853.77
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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.