Finding the Fourth Proportional to 31,399,120.16, 47,116,953.84 and 13,201,997.12
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Solution
The fourth proportional to 31,399,120.16, 47,116,953.84 and 13,201,997.12 is: 19,810,678.95
Step by Step Solution
- Step 1: Write the proportion equation
31,399,120.16 : 47,116,953.84 = 13,201,997.12 : x - Step 2: Convert to fraction form
31,399,120.16/47,116,953.84 = 13,201,997.12/x - Step 3: Cross multiply
31,399,120.16x = 47,116,953.84 × 13,201,997.12 - Step 4: Simplify right side
31,399,120.16x = 622,037,888,898,853 - Step 5: Solve for x
x = 622,037,888,898,853/31,399,120.16 - Step 6: Final answer
x = 19,810,678.95
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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.