Finding the Fourth Proportional to 165,105,195.30, 227,831,626.35 and 97,199,535.42
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Solution
The fourth proportional to 165,105,195.30, 227,831,626.35 and 97,199,535.42 is: 134,127,385.85
Step by Step Solution
- Step 1: Write the proportion equation
165,105,195.30 : 227,831,626.35 = 97,199,535.42 : x - Step 2: Convert to fraction form
165,105,195.30/227,831,626.35 = 97,199,535.42/x - Step 3: Cross multiply
165,105,195.30x = 227,831,626.35 × 97,199,535.42 - Step 4: Simplify right side
165,105,195.30x = 22,145,128,235,203,032 - Step 5: Solve for x
x = 22,145,128,235,203,032/165,105,195.30 - Step 6: Final answer
x = 134,127,385.85
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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.