Finding the Fourth Proportional to 147,198,123,354.29, 203,133,410,620.14 and 79,532,713,572.62
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Solution
The fourth proportional to 147,198,123,354.29, 203,133,410,620.14 and 79,532,713,572.62 is: 109,755,144,941.59
Step by Step Solution
- Step 1: Write the proportion equation
147,198,123,354.29 : 203,133,410,620.14 = 79,532,713,572.62 : x - Step 2: Convert to fraction form
147,198,123,354.29/203,133,410,620.14 = 79,532,713,572.62/x - Step 3: Cross multiply
147,198,123,354.29x = 203,133,410,620.14 × 79,532,713,572.62 - Step 4: Simplify right side
147,198,123,354.29x = 16,155,751,363,879,987,314,688 - Step 5: Solve for x
x = 16,155,751,363,879,987,314,688/147,198,123,354.29 - Step 6: Final answer
x = 109,755,144,941.59
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Double scale
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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.