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Finding the Fourth Proportional to 266,633.76, 400,147.12 and 126,391.84

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Solution

The fourth proportional to 266,633.76, 400,147.12 and 126,391.84 is: 189,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,633.76 : 400,147.12 = 126,391.84 : x
  2. Step 2: Convert to fraction form
    266,633.76/400,147.12 = 126,391.84/x
  3. Step 3: Cross multiply
    266,633.76x = 400,147.12 × 126,391.84
  4. Step 4: Simplify right side
    266,633.76x = 50,575,330,767.50
  5. Step 5: Solve for x
    x = 50,575,330,767.50/266,633.76
  6. Step 6: Final answer
    x = 189,680.90

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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.