Finding the Fourth Proportional to 106,414.58, 159,606.81 and 31,542.63
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Solution
The fourth proportional to 106,414.58, 159,606.81 and 31,542.63 is: 47,309.48
Step by Step Solution
- Step 1: Write the proportion equation
106,414.58 : 159,606.81 = 31,542.63 : x - Step 2: Convert to fraction form
106,414.58/159,606.81 = 31,542.63/x - Step 3: Cross multiply
106,414.58x = 159,606.81 × 31,542.63 - Step 4: Simplify right side
106,414.58x = 5,034,418,553.31 - Step 5: Solve for x
x = 5,034,418,553.31/106,414.58 - Step 6: Final answer
x = 47,309.48
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.