Finding the Fourth Proportional to 76,963.40, 115,434.30 and 24,378.20
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Solution
The fourth proportional to 76,963.40, 115,434.30 and 24,378.20 is: 36,563.88
Step by Step Solution
- Step 1: Write the proportion equation
76,963.40 : 115,434.30 = 24,378.20 : x - Step 2: Convert to fraction form
76,963.40/115,434.30 = 24,378.20/x - Step 3: Cross multiply
76,963.40x = 115,434.30 × 24,378.20 - Step 4: Simplify right side
76,963.40x = 2,814,080,452.26 - Step 5: Solve for x
x = 2,814,080,452.26/76,963.40 - Step 6: Final answer
x = 36,563.88
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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.