Finding the Fourth Proportional to 149,761,024.13, 206,678,196.68 and 83,683,126.42
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Solution
The fourth proportional to 149,761,024.13, 206,678,196.68 and 83,683,126.42 is: 115,487,175.39
Step by Step Solution
- Step 1: Write the proportion equation
149,761,024.13 : 206,678,196.68 = 83,683,126.42 : x - Step 2: Convert to fraction form
149,761,024.13/206,678,196.68 = 83,683,126.42/x - Step 3: Cross multiply
149,761,024.13x = 206,678,196.68 × 83,683,126.42 - Step 4: Simplify right side
149,761,024.13x = 17,295,477,660,094,956 - Step 5: Solve for x
x = 17,295,477,660,094,956/149,761,024.13 - Step 6: Final answer
x = 115,487,175.39
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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.