Finding the Fourth Proportional to 102,851.64, 141,948.90 and 57,546.99
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Solution
The fourth proportional to 102,851.64, 141,948.90 and 57,546.99 is: 79,422.48
Step by Step Solution
- Step 1: Write the proportion equation
102,851.64 : 141,948.90 = 57,546.99 : x - Step 2: Convert to fraction form
102,851.64/141,948.90 = 57,546.99/x - Step 3: Cross multiply
102,851.64x = 141,948.90 × 57,546.99 - Step 4: Simplify right side
102,851.64x = 8,168,731,928.81 - Step 5: Solve for x
x = 8,168,731,928.81/102,851.64 - Step 6: Final answer
x = 79,422.48
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1.5x scale
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.