Finding the Fourth Proportional to 71,864.63, 107,820.94 and 31,878.10
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Solution
The fourth proportional to 71,864.63, 107,820.94 and 31,878.10 is: 47,827.79
Step by Step Solution
- Step 1: Write the proportion equation
71,864.63 : 107,820.94 = 31,878.10 : x - Step 2: Convert to fraction form
71,864.63/107,820.94 = 31,878.10/x - Step 3: Cross multiply
71,864.63x = 107,820.94 × 31,878.10 - Step 4: Simplify right side
71,864.63x = 3,437,126,567.47 - Step 5: Solve for x
x = 3,437,126,567.47/71,864.63 - Step 6: Final answer
x = 47,827.79
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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.