Finding the Fourth Proportional to 75,931.08, 113,926.14 and 31,546.68
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Solution
The fourth proportional to 75,931.08, 113,926.14 and 31,546.68 is: 47,332.28
Step by Step Solution
- Step 1: Write the proportion equation
75,931.08 : 113,926.14 = 31,546.68 : x - Step 2: Convert to fraction form
75,931.08/113,926.14 = 31,546.68/x - Step 3: Cross multiply
75,931.08x = 113,926.14 × 31,546.68 - Step 4: Simplify right side
75,931.08x = 3,593,991,482.22 - Step 5: Solve for x
x = 3,593,991,482.22/75,931.08 - Step 6: Final answer
x = 47,332.28
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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.