Finding the Fourth Proportional to 212,173,664,449.14, 292,798,167,431.85 and 115,829,750,902.50
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Solution
The fourth proportional to 212,173,664,449.14, 292,798,167,431.85 and 115,829,750,902.50 is: 159,844,243,093.94
Step by Step Solution
- Step 1: Write the proportion equation
212,173,664,449.14 : 292,798,167,431.85 = 115,829,750,902.50 : x - Step 2: Convert to fraction form
212,173,664,449.14/292,798,167,431.85 = 115,829,750,902.50/x - Step 3: Cross multiply
212,173,664,449.14x = 292,798,167,431.85 × 115,829,750,902.50 - Step 4: Simplify right side
212,173,664,449.14x = 33,914,738,798,339,672,768,512 - Step 5: Solve for x
x = 33,914,738,798,339,672,768,512/212,173,664,449.14 - Step 6: Final answer
x = 159,844,243,093.94
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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.