Finding the Fourth Proportional to 159,130,246,214.64, 219,598,622,646.96 and 86,872,311,058.80
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Solution
The fourth proportional to 159,130,246,214.64, 219,598,622,646.96 and 86,872,311,058.80 is: 119,883,179,398.46
Step by Step Solution
- Step 1: Write the proportion equation
159,130,246,214.64 : 219,598,622,646.96 = 86,872,311,058.80 : x - Step 2: Convert to fraction form
159,130,246,214.64/219,598,622,646.96 = 86,872,311,058.80/x - Step 3: Cross multiply
159,130,246,214.64x = 219,598,622,646.96 × 86,872,311,058.80 - Step 4: Simplify right side
159,130,246,214.64x = 19,077,039,854,670,751,727,616 - Step 5: Solve for x
x = 19,077,039,854,670,751,727,616/159,130,246,214.64 - Step 6: Final answer
x = 119,883,179,398.46
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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.