Finding the Fourth Proportional to 98,178,281,829.05, 135,489,371,881.09 and 56,975,471,537.09
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Solution
The fourth proportional to 98,178,281,829.05, 135,489,371,881.09 and 56,975,471,537.09 is: 78,628,090,728.15
Step by Step Solution
- Step 1: Write the proportion equation
98,178,281,829.05 : 135,489,371,881.09 = 56,975,471,537.09 : x - Step 2: Convert to fraction form
98,178,281,829.05/135,489,371,881.09 = 56,975,471,537.09/x - Step 3: Cross multiply
98,178,281,829.05x = 135,489,371,881.09 × 56,975,471,537.09 - Step 4: Simplify right side
98,178,281,829.05x = 7,719,570,851,188,567,965,696 - Step 5: Solve for x
x = 7,719,570,851,188,567,965,696/98,178,281,829.05 - Step 6: Final answer
x = 78,628,090,728.15
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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.