Finding the Fourth Proportional to 212,017,464,555.42, 292,583,702,655.16 and 115,673,616,281.99
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Solution
The fourth proportional to 212,017,464,555.42, 292,583,702,655.16 and 115,673,616,281.99 is: 159,629,373,090.87
Step by Step Solution
- Step 1: Write the proportion equation
212,017,464,555.42 : 292,583,702,655.16 = 115,673,616,281.99 : x - Step 2: Convert to fraction form
212,017,464,555.42/292,583,702,655.16 = 115,673,616,281.99/x - Step 3: Cross multiply
212,017,464,555.42x = 292,583,702,655.16 × 115,673,616,281.99 - Step 4: Simplify right side
212,017,464,555.42x = 33,844,214,951,296,836,304,896 - Step 5: Solve for x
x = 33,844,214,951,296,836,304,896/212,017,464,555.42 - Step 6: Final answer
x = 159,629,373,090.87
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1.5x scale
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.