Finding the Fourth Proportional to 141,539,380,359.84, 195,323,051,053.20 and 77,310,085,401.09
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Solution
The fourth proportional to 141,539,380,359.84, 195,323,051,053.20 and 77,310,085,401.09 is: 106,687,211,144.59
Step by Step Solution
- Step 1: Write the proportion equation
141,539,380,359.84 : 195,323,051,053.20 = 77,310,085,401.09 : x - Step 2: Convert to fraction form
141,539,380,359.84/195,323,051,053.20 = 77,310,085,401.09/x - Step 3: Cross multiply
141,539,380,359.84x = 195,323,051,053.20 × 77,310,085,401.09 - Step 4: Simplify right side
141,539,380,359.84x = 15,100,441,757,724,354,543,616 - Step 5: Solve for x
x = 15,100,441,757,724,354,543,616/141,539,380,359.84 - Step 6: Final answer
x = 106,687,211,144.59
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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.