Finding the Fourth Proportional to 70,905.68, 106,380.40 and 31,459.52
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Solution
The fourth proportional to 70,905.68, 106,380.40 and 31,459.52 is: 47,198.99
Step by Step Solution
- Step 1: Write the proportion equation
70,905.68 : 106,380.40 = 31,459.52 : x - Step 2: Convert to fraction form
70,905.68/106,380.40 = 31,459.52/x - Step 3: Cross multiply
70,905.68x = 106,380.40 × 31,459.52 - Step 4: Simplify right side
70,905.68x = 3,346,676,321.41 - Step 5: Solve for x
x = 3,346,676,321.41/70,905.68 - Step 6: Final answer
x = 47,198.99
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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.