Finding the Fourth Proportional to 146,006.31, 201,476.64 and 82,359.75
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Solution
The fourth proportional to 146,006.31, 201,476.64 and 82,359.75 is: 113,649.65
Step by Step Solution
- Step 1: Write the proportion equation
146,006.31 : 201,476.64 = 82,359.75 : x - Step 2: Convert to fraction form
146,006.31/201,476.64 = 82,359.75/x - Step 3: Cross multiply
146,006.31x = 201,476.64 × 82,359.75 - Step 4: Simplify right side
146,006.31x = 16,593,565,701.24 - Step 5: Solve for x
x = 16,593,565,701.24/146,006.31 - Step 6: Final answer
x = 113,649.65
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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.