Finding the Fourth Proportional to 157,910,878,938.24, 236,873,971,857.68 and 51,783,556,757.76
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Solution
The fourth proportional to 157,910,878,938.24, 236,873,971,857.68 and 51,783,556,757.76 is: 77,677,844,924.96
Step by Step Solution
- Step 1: Write the proportion equation
157,910,878,938.24 : 236,873,971,857.68 = 51,783,556,757.76 : x - Step 2: Convert to fraction form
157,910,878,938.24/236,873,971,857.68 = 51,783,556,757.76/x - Step 3: Cross multiply
157,910,878,938.24x = 236,873,971,857.68 × 51,783,556,757.76 - Step 4: Simplify right side
157,910,878,938.24x = 12,266,176,766,128,217,391,104 - Step 5: Solve for x
x = 12,266,176,766,128,217,391,104/157,910,878,938.24 - Step 6: Final answer
x = 77,677,844,924.96
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.