Finding the Fourth Proportional to 225,819.20, 311,487.36 and 145,107.84
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Solution
The fourth proportional to 225,819.20, 311,487.36 and 145,107.84 is: 200,156.84
Step by Step Solution
- Step 1: Write the proportion equation
225,819.20 : 311,487.36 = 145,107.84 : x - Step 2: Convert to fraction form
225,819.20/311,487.36 = 145,107.84/x - Step 3: Cross multiply
225,819.20x = 311,487.36 × 145,107.84 - Step 4: Simplify right side
225,819.20x = 45,199,257,996.90 - Step 5: Solve for x
x = 45,199,257,996.90/225,819.20 - Step 6: Final answer
x = 200,156.84
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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.