Finding the Fourth Proportional to 106,471.24, 159,737.64 and 31,593.04
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Solution
The fourth proportional to 106,471.24, 159,737.64 and 31,593.04 is: 47,398.69
Step by Step Solution
- Step 1: Write the proportion equation
106,471.24 : 159,737.64 = 31,593.04 : x - Step 2: Convert to fraction form
106,471.24/159,737.64 = 31,593.04/x - Step 3: Cross multiply
106,471.24x = 159,737.64 × 31,593.04 - Step 4: Simplify right side
106,471.24x = 5,046,597,650.03 - Step 5: Solve for x
x = 5,046,597,650.03/106,471.24 - Step 6: Final answer
x = 47,398.69
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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.