Finding the Fourth Proportional to 205,897.62, 284,114.79 and 115,258.62
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Solution
The fourth proportional to 205,897.62, 284,114.79 and 115,258.62 is: 159,043.50
Step by Step Solution
- Step 1: Write the proportion equation
205,897.62 : 284,114.79 = 115,258.62 : x - Step 2: Convert to fraction form
205,897.62/284,114.79 = 115,258.62/x - Step 3: Cross multiply
205,897.62x = 284,114.79 × 115,258.62 - Step 4: Simplify right side
205,897.62x = 32,746,678,616.99 - Step 5: Solve for x
x = 32,746,678,616.99/205,897.62 - Step 6: Final answer
x = 159,043.50
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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.