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Finding the Fourth Proportional to 253,715.33, 380,542.75 and 66,741.41

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Solution

The fourth proportional to 253,715.33, 380,542.75 and 66,741.41 is: 100,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,715.33 : 380,542.75 = 66,741.41 : x
  2. Step 2: Convert to fraction form
    253,715.33/380,542.75 = 66,741.41/x
  3. Step 3: Cross multiply
    253,715.33x = 380,542.75 × 66,741.41
  4. Step 4: Simplify right side
    253,715.33x = 25,397,959,700.28
  5. Step 5: Solve for x
    x = 25,397,959,700.28/253,715.33
  6. Step 6: Final answer
    x = 100,104.16

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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.