Finding the Fourth Proportional to 70,853.24, 106,304.44 and 31,438.02
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Solution
The fourth proportional to 70,853.24, 106,304.44 and 31,438.02 is: 47,167.94
Step by Step Solution
- Step 1: Write the proportion equation
70,853.24 : 106,304.44 = 31,438.02 : x - Step 2: Convert to fraction form
70,853.24/106,304.44 = 31,438.02/x - Step 3: Cross multiply
70,853.24x = 106,304.44 × 31,438.02 - Step 4: Simplify right side
70,853.24x = 3,342,001,110.81 - Step 5: Solve for x
x = 3,342,001,110.81/70,853.24 - Step 6: Final answer
x = 47,167.94
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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.