Finding the Fourth Proportional to 84,206.26, 116,201.70 and 50,197.20
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Solution
The fourth proportional to 84,206.26, 116,201.70 and 50,197.20 is: 69,270.38
Step by Step Solution
- Step 1: Write the proportion equation
84,206.26 : 116,201.70 = 50,197.20 : x - Step 2: Convert to fraction form
84,206.26/116,201.70 = 50,197.20/x - Step 3: Cross multiply
84,206.26x = 116,201.70 × 50,197.20 - Step 4: Simplify right side
84,206.26x = 5,832,999,975.24 - Step 5: Solve for x
x = 5,832,999,975.24/84,206.26 - Step 6: Final answer
x = 69,270.38
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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.