Finding the Fourth Proportional to 135,406,899,616.18, 186,850,414,380.87 and 79,715,770,307.10
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Solution
The fourth proportional to 135,406,899,616.18, 186,850,414,380.87 and 79,715,770,307.10 is: 110,001,224,138.45
Step by Step Solution
- Step 1: Write the proportion equation
135,406,899,616.18 : 186,850,414,380.87 = 79,715,770,307.10 : x - Step 2: Convert to fraction form
135,406,899,616.18/186,850,414,380.87 = 79,715,770,307.10/x - Step 3: Cross multiply
135,406,899,616.18x = 186,850,414,380.87 × 79,715,770,307.10 - Step 4: Simplify right side
135,406,899,616.18x = 14,894,924,714,571,888,328,704 - Step 5: Solve for x
x = 14,894,924,714,571,888,328,704/135,406,899,616.18 - Step 6: Final answer
x = 110,001,224,138.45
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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.