Finding the Fourth Proportional to 200,798.51, 277,109.30 and 114,755.99
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Solution
The fourth proportional to 200,798.51, 277,109.30 and 114,755.99 is: 158,367.47
Step by Step Solution
- Step 1: Write the proportion equation
200,798.51 : 277,109.30 = 114,755.99 : x - Step 2: Convert to fraction form
200,798.51/277,109.30 = 114,755.99/x - Step 3: Cross multiply
200,798.51x = 277,109.30 × 114,755.99 - Step 4: Simplify right side
200,798.51x = 31,799,950,961.05 - Step 5: Solve for x
x = 31,799,950,961.05/200,798.51 - Step 6: Final answer
x = 158,367.47
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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.