Finding the Fourth Proportional to 135,157,917,987.81, 186,518,131,135.38 and 73,358,509,806.55
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Solution
The fourth proportional to 135,157,917,987.81, 186,518,131,135.38 and 73,358,509,806.55 is: 101,234,854,425.82
Step by Step Solution
- Step 1: Write the proportion equation
135,157,917,987.81 : 186,518,131,135.38 = 73,358,509,806.55 : x - Step 2: Convert to fraction form
135,157,917,987.81/186,518,131,135.38 = 73,358,509,806.55/x - Step 3: Cross multiply
135,157,917,987.81x = 186,518,131,135.38 × 73,358,509,806.55 - Step 4: Simplify right side
135,157,917,987.81x = 13,682,692,151,993,406,849,024 - Step 5: Solve for x
x = 13,682,692,151,993,406,849,024/135,157,917,987.81 - Step 6: Final answer
x = 101,234,854,425.82
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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.