Finding the Fourth Proportional to 209,142.41, 288,615.96 and 113,649.12
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Solution
The fourth proportional to 209,142.41, 288,615.96 and 113,649.12 is: 156,835.48
Step by Step Solution
- Step 1: Write the proportion equation
209,142.41 : 288,615.96 = 113,649.12 : x - Step 2: Convert to fraction form
209,142.41/288,615.96 = 113,649.12/x - Step 3: Cross multiply
209,142.41x = 288,615.96 × 113,649.12 - Step 4: Simplify right side
209,142.41x = 32,800,949,871.96 - Step 5: Solve for x
x = 32,800,949,871.96/209,142.41 - Step 6: Final answer
x = 156,835.48
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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.