Finding the Fourth Proportional to 106,902.84, 160,358.58 and 47,727.48
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Solution
The fourth proportional to 106,902.84, 160,358.58 and 47,727.48 is: 71,593.15
Step by Step Solution
- Step 1: Write the proportion equation
106,902.84 : 160,358.58 = 47,727.48 : x - Step 2: Convert to fraction form
106,902.84/160,358.58 = 47,727.48/x - Step 3: Cross multiply
106,902.84x = 160,358.58 × 47,727.48 - Step 4: Simplify right side
106,902.84x = 7,653,510,919.78 - Step 5: Solve for x
x = 7,653,510,919.78/106,902.84 - Step 6: Final answer
x = 71,593.15
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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.