Finding the Fourth Proportional to 215,910,712,198.34, 297,966,148,884.84 and 119,566,798,661.19
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Solution
The fourth proportional to 215,910,712,198.34, 297,966,148,884.84 and 119,566,798,661.19 is: 165,007,368,874.02
Step by Step Solution
- Step 1: Write the proportion equation
215,910,712,198.34 : 297,966,148,884.84 = 119,566,798,661.19 : x - Step 2: Convert to fraction form
215,910,712,198.34/297,966,148,884.84 = 119,566,798,661.19/x - Step 3: Cross multiply
215,910,712,198.34x = 297,966,148,884.84 × 119,566,798,661.19 - Step 4: Simplify right side
215,910,712,198.34x = 35,626,858,531,563,830,771,712 - Step 5: Solve for x
x = 35,626,858,531,563,830,771,712/215,910,712,198.34 - Step 6: Final answer
x = 165,007,368,874.02
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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.