Finding the Fourth Proportional to 160,391,013.84, 221,339,812.68 and 87,052,165.20
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Solution
The fourth proportional to 160,391,013.84, 221,339,812.68 and 87,052,165.20 is: 120,132,103.90
Step by Step Solution
- Step 1: Write the proportion equation
160,391,013.84 : 221,339,812.68 = 87,052,165.20 : x - Step 2: Convert to fraction form
160,391,013.84/221,339,812.68 = 87,052,165.20/x - Step 3: Cross multiply
160,391,013.84x = 221,339,812.68 × 87,052,165.20 - Step 4: Simplify right side
160,391,013.84x = 19,268,109,938,756,416 - Step 5: Solve for x
x = 19,268,109,938,756,416/160,391,013.84 - Step 6: Final answer
x = 120,132,103.90
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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.