Finding the Fourth Proportional to 163,680,725,702.88, 225,876,997,580.14 and 91,423,845,042.75
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Solution
The fourth proportional to 163,680,725,702.88, 225,876,997,580.14 and 91,423,845,042.75 is: 126,163,563,466.69
Step by Step Solution
- Step 1: Write the proportion equation
163,680,725,702.88 : 225,876,997,580.14 = 91,423,845,042.75 : x - Step 2: Convert to fraction form
163,680,725,702.88/225,876,997,580.14 = 91,423,845,042.75/x - Step 3: Cross multiply
163,680,725,702.88x = 225,876,997,580.14 × 91,423,845,042.75 - Step 4: Simplify right side
163,680,725,702.88x = 20,650,543,625,488,335,634,432 - Step 5: Solve for x
x = 20,650,543,625,488,335,634,432/163,680,725,702.88 - Step 6: Final answer
x = 126,163,563,466.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.