Finding the Fourth Proportional to 209,536,767.52, 289,163,735.12 and 120,243,263.20
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Solution
The fourth proportional to 209,536,767.52, 289,163,735.12 and 120,243,263.20 is: 165,937,422.45
Step by Step Solution
- Step 1: Write the proportion equation
209,536,767.52 : 289,163,735.12 = 120,243,263.20 : x - Step 2: Convert to fraction form
209,536,767.52/289,163,735.12 = 120,243,263.20/x - Step 3: Cross multiply
209,536,767.52x = 289,163,735.12 × 120,243,263.20 - Step 4: Simplify right side
209,536,767.52x = 34,769,991,109,929,244 - Step 5: Solve for x
x = 34,769,991,109,929,244/209,536,767.52 - Step 6: Final answer
x = 165,937,422.45
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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.