Finding the Fourth Proportional to 75,905.29, 113,858.32 and 31,532.09
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Solution
The fourth proportional to 75,905.29, 113,858.32 and 31,532.09 is: 47,298.29
Step by Step Solution
- Step 1: Write the proportion equation
75,905.29 : 113,858.32 = 31,532.09 : x - Step 2: Convert to fraction form
75,905.29/113,858.32 = 31,532.09/x - Step 3: Cross multiply
75,905.29x = 113,858.32 × 31,532.09 - Step 4: Simplify right side
75,905.29x = 3,590,190,430.01 - Step 5: Solve for x
x = 3,590,190,430.01/75,905.29 - Step 6: Final answer
x = 47,298.29
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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.