Finding the Fourth Proportional to 155,784.10, 214,982.14 and 84,164.08
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Solution
The fourth proportional to 155,784.10, 214,982.14 and 84,164.08 is: 116,146.47
Step by Step Solution
- Step 1: Write the proportion equation
155,784.10 : 214,982.14 = 84,164.08 : x - Step 2: Convert to fraction form
155,784.10/214,982.14 = 84,164.08/x - Step 3: Cross multiply
155,784.10x = 214,982.14 × 84,164.08 - Step 4: Simplify right side
155,784.10x = 18,093,774,029.53 - Step 5: Solve for x
x = 18,093,774,029.53/155,784.10 - Step 6: Final answer
x = 116,146.47
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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.