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Finding the Fourth Proportional to 255,236.42, 382,909.97 and 77,738.78

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Solution

The fourth proportional to 255,236.42, 382,909.97 and 77,738.78 is: 116,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,236.42 : 382,909.97 = 77,738.78 : x
  2. Step 2: Convert to fraction form
    255,236.42/382,909.97 = 77,738.78/x
  3. Step 3: Cross multiply
    255,236.42x = 382,909.97 × 77,738.78
  4. Step 4: Simplify right side
    255,236.42x = 29,766,952,197.43
  5. Step 5: Solve for x
    x = 29,766,952,197.43/255,236.42
  6. Step 6: Final answer
    x = 116,625.02

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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.