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Finding the Fourth Proportional to 225,668.88, 311,382.12 and 145,077.92

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Solution

The fourth proportional to 225,668.88, 311,382.12 and 145,077.92 is: 200,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,668.88 : 311,382.12 = 145,077.92 : x
  2. Step 2: Convert to fraction form
    225,668.88/311,382.12 = 145,077.92/x
  3. Step 3: Cross multiply
    225,668.88x = 311,382.12 × 145,077.92
  4. Step 4: Simplify right side
    225,668.88x = 45,174,670,294.79
  5. Step 5: Solve for x
    x = 45,174,670,294.79/225,668.88
  6. Step 6: Final answer
    x = 200,181.21

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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.