Finding the Fourth Proportional to 147,275,154.24, 203,239,936.80 and 82,083,658.56
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Solution
The fourth proportional to 147,275,154.24, 203,239,936.80 and 82,083,658.56 is: 113,275,573.63
Step by Step Solution
- Step 1: Write the proportion equation
147,275,154.24 : 203,239,936.80 = 82,083,658.56 : x - Step 2: Convert to fraction form
147,275,154.24/203,239,936.80 = 82,083,658.56/x - Step 3: Cross multiply
147,275,154.24x = 203,239,936.80 × 82,083,658.56 - Step 4: Simplify right side
147,275,154.24x = 16,682,677,578,047,180 - Step 5: Solve for x
x = 16,682,677,578,047,180/147,275,154.24 - Step 6: Final answer
x = 113,275,573.63
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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.