Finding the Fourth Proportional to 212,173,664,456.64, 292,798,167,442.20 and 115,829,750,910
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Solution
The fourth proportional to 212,173,664,456.64, 292,798,167,442.20 and 115,829,750,910 is: 159,844,243,104.29
Step by Step Solution
- Step 1: Write the proportion equation
212,173,664,456.64 : 292,798,167,442.20 = 115,829,750,910 : x - Step 2: Convert to fraction form
212,173,664,456.64/292,798,167,442.20 = 115,829,750,910/x - Step 3: Cross multiply
212,173,664,456.64x = 292,798,167,442.20 × 115,829,750,910 - Step 4: Simplify right side
212,173,664,456.64x = 33,914,738,801,734,500,483,072 - Step 5: Solve for x
x = 33,914,738,801,734,500,483,072/212,173,664,456.64 - Step 6: Final answer
x = 159,844,243,104.29
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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.