Finding the Fourth Proportional to 200,217.96, 276,331.87 and 114,177.13
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Solution
The fourth proportional to 200,217.96, 276,331.87 and 114,177.13 is: 157,582.17
Step by Step Solution
- Step 1: Write the proportion equation
200,217.96 : 276,331.87 = 114,177.13 : x - Step 2: Convert to fraction form
200,217.96/276,331.87 = 114,177.13/x - Step 3: Cross multiply
200,217.96x = 276,331.87 × 114,177.13 - Step 4: Simplify right side
200,217.96x = 31,550,779,844.13 - Step 5: Solve for x
x = 31,550,779,844.13/200,217.96 - Step 6: Final answer
x = 157,582.17
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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.