Finding the Fourth Proportional to 205,948.74, 284,195.80 and 115,303.87
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Solution
The fourth proportional to 205,948.74, 284,195.80 and 115,303.87 is: 159,111.80
Step by Step Solution
- Step 1: Write the proportion equation
205,948.74 : 284,195.80 = 115,303.87 : x - Step 2: Convert to fraction form
205,948.74/284,195.80 = 115,303.87/x - Step 3: Cross multiply
205,948.74x = 284,195.80 × 115,303.87 - Step 4: Simplify right side
205,948.74x = 32,768,875,577.75 - Step 5: Solve for x
x = 32,768,875,577.75/205,948.74 - Step 6: Final answer
x = 159,111.80
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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.