Finding the Fourth Proportional to 209,017.14, 288,445.80 and 113,525.70
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Solution
The fourth proportional to 209,017.14, 288,445.80 and 113,525.70 is: 156,666.63
Step by Step Solution
- Step 1: Write the proportion equation
209,017.14 : 288,445.80 = 113,525.70 : x - Step 2: Convert to fraction form
209,017.14/288,445.80 = 113,525.70/x - Step 3: Cross multiply
209,017.14x = 288,445.80 × 113,525.70 - Step 4: Simplify right side
209,017.14x = 32,746,011,357.06 - Step 5: Solve for x
x = 32,746,011,357.06/209,017.14 - Step 6: Final answer
x = 156,666.63
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1.5x scale
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.