Finding the Fourth Proportional to 75,666.24, 113,523.12 and 31,313.88
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Solution
The fourth proportional to 75,666.24, 113,523.12 and 31,313.88 is: 46,980.65
Step by Step Solution
- Step 1: Write the proportion equation
75,666.24 : 113,523.12 = 31,313.88 : x - Step 2: Convert to fraction form
75,666.24/113,523.12 = 31,313.88/x - Step 3: Cross multiply
75,666.24x = 113,523.12 × 31,313.88 - Step 4: Simplify right side
75,666.24x = 3,554,849,356.91 - Step 5: Solve for x
x = 3,554,849,356.91/75,666.24 - Step 6: Final answer
x = 46,980.65
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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.