Finding the Fourth Proportional to 75,153.76, 112,738.10 and 27,781.26
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Solution
The fourth proportional to 75,153.76, 112,738.10 and 27,781.26 is: 41,674.65
Step by Step Solution
- Step 1: Write the proportion equation
75,153.76 : 112,738.10 = 27,781.26 : x - Step 2: Convert to fraction form
75,153.76/112,738.10 = 27,781.26/x - Step 3: Cross multiply
75,153.76x = 112,738.10 × 27,781.26 - Step 4: Simplify right side
75,153.76x = 3,132,006,468.01 - Step 5: Solve for x
x = 3,132,006,468.01/75,153.76 - Step 6: Final answer
x = 41,674.65
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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.