Finding the Fourth Proportional to 145,328,327,107.41, 217,991,575,918.29 and 78,207,189,304.14
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Solution
The fourth proportional to 145,328,327,107.41, 217,991,575,918.29 and 78,207,189,304.14 is: 117,310,291,695.23
Step by Step Solution
- Step 1: Write the proportion equation
145,328,327,107.41 : 217,991,575,918.29 = 78,207,189,304.14 : x - Step 2: Convert to fraction form
145,328,327,107.41/217,991,575,918.29 = 78,207,189,304.14/x - Step 3: Cross multiply
145,328,327,107.41x = 217,991,575,918.29 × 78,207,189,304.14 - Step 4: Simplify right side
145,328,327,107.41x = 17,048,508,444,549,513,740,288 - Step 5: Solve for x
x = 17,048,508,444,549,513,740,288/145,328,327,107.41 - Step 6: Final answer
x = 117,310,291,695.23
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1.5x scale
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.