Finding the Fourth Proportional to 100,171,195.29, 138,235,941.09 and 55,520,014.68
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Solution
The fourth proportional to 100,171,195.29, 138,235,941.09 and 55,520,014.68 is: 76,617,449.32
Step by Step Solution
- Step 1: Write the proportion equation
100,171,195.29 : 138,235,941.09 = 55,520,014.68 : x - Step 2: Convert to fraction form
100,171,195.29/138,235,941.09 = 55,520,014.68/x - Step 3: Cross multiply
100,171,195.29x = 138,235,941.09 × 55,520,014.68 - Step 4: Simplify right side
100,171,195.29x = 7,674,861,478,620,415 - Step 5: Solve for x
x = 7,674,861,478,620,415/100,171,195.29 - Step 6: Final answer
x = 76,617,449.32
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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.