Finding the Fourth Proportional to 206,159,157.07, 284,232,602.75 and 133,526,950.21
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Solution
The fourth proportional to 206,159,157.07, 284,232,602.75 and 133,526,950.21 is: 184,094,236.39
Step by Step Solution
- Step 1: Write the proportion equation
206,159,157.07 : 284,232,602.75 = 133,526,950.21 : x - Step 2: Convert to fraction form
206,159,157.07/284,232,602.75 = 133,526,950.21/x - Step 3: Cross multiply
206,159,157.07x = 284,232,602.75 × 133,526,950.21 - Step 4: Simplify right side
206,159,157.07x = 37,952,712,595,457,960 - Step 5: Solve for x
x = 37,952,712,595,457,960/206,159,157.07 - Step 6: Final answer
x = 184,094,236.39
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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.