Finding the Fourth Proportional to 205,294.39, 307,950.23 and 100,201.75
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Solution
The fourth proportional to 205,294.39, 307,950.23 and 100,201.75 is: 150,306.84
Step by Step Solution
- Step 1: Write the proportion equation
205,294.39 : 307,950.23 = 100,201.75 : x - Step 2: Convert to fraction form
205,294.39/307,950.23 = 100,201.75/x - Step 3: Cross multiply
205,294.39x = 307,950.23 × 100,201.75 - Step 4: Simplify right side
205,294.39x = 30,857,151,958.90 - Step 5: Solve for x
x = 30,857,151,958.90/205,294.39 - Step 6: Final answer
x = 150,306.84
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.