Finding the Fourth Proportional to 75,242.64, 112,784.37 and 27,827.26
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Solution
The fourth proportional to 75,242.64, 112,784.37 and 27,827.26 is: 41,711.45
Step by Step Solution
- Step 1: Write the proportion equation
75,242.64 : 112,784.37 = 27,827.26 : x - Step 2: Convert to fraction form
75,242.64/112,784.37 = 27,827.26/x - Step 3: Cross multiply
75,242.64x = 112,784.37 × 27,827.26 - Step 4: Simplify right side
75,242.64x = 3,138,479,987.93 - Step 5: Solve for x
x = 3,138,479,987.93/75,242.64 - Step 6: Final answer
x = 41,711.45
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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.