Finding the Fourth Proportional to 120,195,007.70, 180,292,511.55 and 74,845,375.70
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Solution
The fourth proportional to 120,195,007.70, 180,292,511.55 and 74,845,375.70 is: 112,268,063.55
Step by Step Solution
- Step 1: Write the proportion equation
120,195,007.70 : 180,292,511.55 = 74,845,375.70 : x - Step 2: Convert to fraction form
120,195,007.70/180,292,511.55 = 74,845,375.70/x - Step 3: Cross multiply
120,195,007.70x = 180,292,511.55 × 74,845,375.70 - Step 4: Simplify right side
120,195,007.70x = 13,494,060,762,856,340 - Step 5: Solve for x
x = 13,494,060,762,856,340/120,195,007.70 - Step 6: Final answer
x = 112,268,063.55
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1.5x scale
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.