Finding the Fourth Proportional to 153,833,786,867.24, 212,291,872,343.38 and 85,246,345,654.68
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Solution
The fourth proportional to 153,833,786,867.24, 212,291,872,343.38 and 85,246,345,654.68 is: 117,640,647,727.67
Step by Step Solution
- Step 1: Write the proportion equation
153,833,786,867.24 : 212,291,872,343.38 = 85,246,345,654.68 : x - Step 2: Convert to fraction form
153,833,786,867.24/212,291,872,343.38 = 85,246,345,654.68/x - Step 3: Cross multiply
153,833,786,867.24x = 212,291,872,343.38 × 85,246,345,654.68 - Step 4: Simplify right side
153,833,786,867.24x = 18,097,106,329,462,972,088,320 - Step 5: Solve for x
x = 18,097,106,329,462,972,088,320/153,833,786,867.24 - Step 6: Final answer
x = 117,640,647,727.67
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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.