Finding the Fourth Proportional to 102,028.24, 140,454.30 and 84,094.84
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Solution
The fourth proportional to 102,028.24, 140,454.30 and 84,094.84 is: 115,766.79
Step by Step Solution
- Step 1: Write the proportion equation
102,028.24 : 140,454.30 = 84,094.84 : x - Step 2: Convert to fraction form
102,028.24/140,454.30 = 84,094.84/x - Step 3: Cross multiply
102,028.24x = 140,454.30 × 84,094.84 - Step 4: Simplify right side
102,028.24x = 11,811,481,885.81 - Step 5: Solve for x
x = 11,811,481,885.81/102,028.24 - Step 6: Final answer
x = 115,766.79
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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.