Finding the Fourth Proportional to 106,985.84, 160,533.40 and 71,471.44
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Solution
The fourth proportional to 106,985.84, 160,533.40 and 71,471.44 is: 107,243.66
Step by Step Solution
- Step 1: Write the proportion equation
106,985.84 : 160,533.40 = 71,471.44 : x - Step 2: Convert to fraction form
106,985.84/160,533.40 = 71,471.44/x - Step 3: Cross multiply
106,985.84x = 160,533.40 × 71,471.44 - Step 4: Simplify right side
106,985.84x = 11,473,553,266.10 - Step 5: Solve for x
x = 11,473,553,266.10/106,985.84 - Step 6: Final answer
x = 107,243.66
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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.