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Finding the Fourth Proportional to 255,218.78, 382,843.92 and 77,738.84

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Solution

The fourth proportional to 255,218.78, 382,843.92 and 77,738.84 is: 116,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,218.78 : 382,843.92 = 77,738.84 : x
  2. Step 2: Convert to fraction form
    255,218.78/382,843.92 = 77,738.84/x
  3. Step 3: Cross multiply
    255,218.78x = 382,843.92 × 77,738.84
  4. Step 4: Simplify right side
    255,218.78x = 29,761,842,241.85
  5. Step 5: Solve for x
    x = 29,761,842,241.85/255,218.78
  6. Step 6: Final answer
    x = 116,613.06

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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.