Finding the Fourth Proportional to 205,944.93, 284,204.70 and 115,301.07
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Solution
The fourth proportional to 205,944.93, 284,204.70 and 115,301.07 is: 159,115.87
Step by Step Solution
- Step 1: Write the proportion equation
205,944.93 : 284,204.70 = 115,301.07 : x - Step 2: Convert to fraction form
205,944.93/284,204.70 = 115,301.07/x - Step 3: Cross multiply
205,944.93x = 284,204.70 × 115,301.07 - Step 4: Simplify right side
205,944.93x = 32,769,106,009.03 - Step 5: Solve for x
x = 32,769,106,009.03/205,944.93 - Step 6: Final answer
x = 159,115.87
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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.