Finding the Fourth Proportional to 138,050,812.84, 190,514,108.10 and 76,175,137.12
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Solution
The fourth proportional to 138,050,812.84, 190,514,108.10 and 76,175,137.12 is: 105,123,888.87
Step by Step Solution
- Step 1: Write the proportion equation
138,050,812.84 : 190,514,108.10 = 76,175,137.12 : x - Step 2: Convert to fraction form
138,050,812.84/190,514,108.10 = 76,175,137.12/x - Step 3: Cross multiply
138,050,812.84x = 190,514,108.10 × 76,175,137.12 - Step 4: Simplify right side
138,050,812.84x = 14,512,438,307,812,004 - Step 5: Solve for x
x = 14,512,438,307,812,004/138,050,812.84 - Step 6: Final answer
x = 105,123,888.87
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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.