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Finding the Fourth Proportional to 266,782.33, 400,194.33 and 77,245.52

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Solution

The fourth proportional to 266,782.33, 400,194.33 and 77,245.52 is: 115,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,782.33 : 400,194.33 = 77,245.52 : x
  2. Step 2: Convert to fraction form
    266,782.33/400,194.33 = 77,245.52/x
  3. Step 3: Cross multiply
    266,782.33x = 400,194.33 × 77,245.52
  4. Step 4: Simplify right side
    266,782.33x = 30,913,218,121.42
  5. Step 5: Solve for x
    x = 30,913,218,121.42/266,782.33
  6. Step 6: Final answer
    x = 115,874.31

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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.