Finding the Fourth Proportional to 31,399,798.24, 47,117,968.80 and 13,202,675.20
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Solution
The fourth proportional to 31,399,798.24, 47,117,968.80 and 13,202,675.20 is: 19,811,695.39
Step by Step Solution
- Step 1: Write the proportion equation
31,399,798.24 : 47,117,968.80 = 13,202,675.20 : x - Step 2: Convert to fraction form
31,399,798.24/47,117,968.80 = 13,202,675.20/x - Step 3: Cross multiply
31,399,798.24x = 47,117,968.80 × 13,202,675.20 - Step 4: Simplify right side
31,399,798.24x = 622,083,238,150,133.62 - Step 5: Solve for x
x = 622,083,238,150,133.62/31,399,798.24 - Step 6: Final answer
x = 19,811,695.39
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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.