Finding the Fourth Proportional to 149,471,405.20, 224,207,107.80 and 119,238,317.20
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Solution
The fourth proportional to 149,471,405.20, 224,207,107.80 and 119,238,317.20 is: 178,857,475.80
Step by Step Solution
- Step 1: Write the proportion equation
149,471,405.20 : 224,207,107.80 = 119,238,317.20 : x - Step 2: Convert to fraction form
149,471,405.20/224,207,107.80 = 119,238,317.20/x - Step 3: Cross multiply
149,471,405.20x = 224,207,107.80 × 119,238,317.20 - Step 4: Simplify right side
149,471,405.20x = 26,734,078,238,350,996 - Step 5: Solve for x
x = 26,734,078,238,350,996/149,471,405.20 - Step 6: Final answer
x = 178,857,475.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.