Finding the Fourth Proportional to 147,191,201.21, 203,125,200.99 and 81,114,070.31
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Solution
The fourth proportional to 147,191,201.21, 203,125,200.99 and 81,114,070.31 is: 111,938,157.30
Step by Step Solution
- Step 1: Write the proportion equation
147,191,201.21 : 203,125,200.99 = 81,114,070.31 : x - Step 2: Convert to fraction form
147,191,201.21/203,125,200.99 = 81,114,070.31/x - Step 3: Cross multiply
147,191,201.21x = 203,125,200.99 × 81,114,070.31 - Step 4: Simplify right side
147,191,201.21x = 16,476,311,834,430,172 - Step 5: Solve for x
x = 16,476,311,834,430,172/147,191,201.21 - Step 6: Final answer
x = 111,938,157.30
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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.