Finding the Fourth Proportional to 75,509.84, 113,266.32 and 27,476.80
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Solution
The fourth proportional to 75,509.84, 113,266.32 and 27,476.80 is: 41,215.77
Step by Step Solution
- Step 1: Write the proportion equation
75,509.84 : 113,266.32 = 27,476.80 : x - Step 2: Convert to fraction form
75,509.84/113,266.32 = 27,476.80/x - Step 3: Cross multiply
75,509.84x = 113,266.32 × 27,476.80 - Step 4: Simplify right side
75,509.84x = 3,112,196,021.38 - Step 5: Solve for x
x = 3,112,196,021.38/75,509.84 - Step 6: Final answer
x = 41,215.77
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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.