Finding the Fourth Proportional to 137,858,539,778.24, 206,363,685,874.08 and 89,948,387,045.12
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Solution
The fourth proportional to 137,858,539,778.24, 206,363,685,874.08 and 89,948,387,045.12 is: 134,645,853,052.84
Step by Step Solution
- Step 1: Write the proportion equation
137,858,539,778.24 : 206,363,685,874.08 = 89,948,387,045.12 : x - Step 2: Convert to fraction form
137,858,539,778.24/206,363,685,874.08 = 89,948,387,045.12/x - Step 3: Cross multiply
137,858,539,778.24x = 206,363,685,874.08 × 89,948,387,045.12 - Step 4: Simplify right side
137,858,539,778.24x = 18,562,080,689,059,308,503,040 - Step 5: Solve for x
x = 18,562,080,689,059,308,503,040/137,858,539,778.24 - Step 6: Final answer
x = 134,645,853,052.84
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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.