Finding the Fourth Proportional to 149,105,463,338.91, 205,766,167,812.58 and 84,000,671,812.47
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Solution
The fourth proportional to 149,105,463,338.91, 205,766,167,812.58 and 84,000,671,812.47 is: 115,921,281,121.99
Step by Step Solution
- Step 1: Write the proportion equation
149,105,463,338.91 : 205,766,167,812.58 = 84,000,671,812.47 : x - Step 2: Convert to fraction form
149,105,463,338.91/205,766,167,812.58 = 84,000,671,812.47/x - Step 3: Cross multiply
149,105,463,338.91x = 205,766,167,812.58 × 84,000,671,812.47 - Step 4: Simplify right side
149,105,463,338.91x = 17,284,496,332,534,159,769,600 - Step 5: Solve for x
x = 17,284,496,332,534,159,769,600/149,105,463,338.91 - Step 6: Final answer
x = 115,921,281,121.99
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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.