Finding the Fourth Proportional to 105,193.22, 157,838.63 and 46,021.10
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Solution
The fourth proportional to 105,193.22, 157,838.63 and 46,021.10 is: 69,052.99
Step by Step Solution
- Step 1: Write the proportion equation
105,193.22 : 157,838.63 = 46,021.10 : x - Step 2: Convert to fraction form
105,193.22/157,838.63 = 46,021.10/x - Step 3: Cross multiply
105,193.22x = 157,838.63 × 46,021.10 - Step 4: Simplify right side
105,193.22x = 7,263,906,355.79 - Step 5: Solve for x
x = 7,263,906,355.79/105,193.22 - Step 6: Final answer
x = 69,052.99
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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.