Finding the Fourth Proportional to 102,214.08, 153,310.34 and 27,341.78
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Solution
The fourth proportional to 102,214.08, 153,310.34 and 27,341.78 is: 41,009.79
Step by Step Solution
- Step 1: Write the proportion equation
102,214.08 : 153,310.34 = 27,341.78 : x - Step 2: Convert to fraction form
102,214.08/153,310.34 = 27,341.78/x - Step 3: Cross multiply
102,214.08x = 153,310.34 × 27,341.78 - Step 4: Simplify right side
102,214.08x = 4,191,777,834.57 - Step 5: Solve for x
x = 4,191,777,834.57/102,214.08 - Step 6: Final answer
x = 41,009.79
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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.