Finding the Fourth Proportional to 205,037.76, 283,068.36 and 133,381.92
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Solution
The fourth proportional to 205,037.76, 283,068.36 and 133,381.92 is: 184,142.67
Step by Step Solution
- Step 1: Write the proportion equation
205,037.76 : 283,068.36 = 133,381.92 : x - Step 2: Convert to fraction form
205,037.76/283,068.36 = 133,381.92/x - Step 3: Cross multiply
205,037.76x = 283,068.36 × 133,381.92 - Step 4: Simplify right side
205,037.76x = 37,756,201,348.05 - Step 5: Solve for x
x = 37,756,201,348.05/205,037.76 - Step 6: Final answer
x = 184,142.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.