Finding the Fourth Proportional to 70,952.22, 106,464.78 and 31,537.62
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Solution
The fourth proportional to 70,952.22, 106,464.78 and 31,537.62 is: 47,322.63
Step by Step Solution
- Step 1: Write the proportion equation
70,952.22 : 106,464.78 = 31,537.62 : x - Step 2: Convert to fraction form
70,952.22/106,464.78 = 31,537.62/x - Step 3: Cross multiply
70,952.22x = 106,464.78 × 31,537.62 - Step 4: Simplify right side
70,952.22x = 3,357,645,775.02 - Step 5: Solve for x
x = 3,357,645,775.02/70,952.22 - Step 6: Final answer
x = 47,322.63
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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.