Finding the Fourth Proportional to 215,100,753,576.99, 296,865,069,323.01 and 122,424,141,031.17
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Solution
The fourth proportional to 215,100,753,576.99, 296,865,069,323.01 and 122,424,141,031.17 is: 168,960,129,193.69
Step by Step Solution
- Step 1: Write the proportion equation
215,100,753,576.99 : 296,865,069,323.01 = 122,424,141,031.17 : x - Step 2: Convert to fraction form
215,100,753,576.99/296,865,069,323.01 = 122,424,141,031.17/x - Step 3: Cross multiply
215,100,753,576.99x = 296,865,069,323.01 × 122,424,141,031.17 - Step 4: Simplify right side
215,100,753,576.99x = 36,343,451,114,028,237,062,144 - Step 5: Solve for x
x = 36,343,451,114,028,237,062,144/215,100,753,576.99 - Step 6: Final answer
x = 168,960,129,193.69
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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.