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Finding the Fourth Proportional to 255,770.17, 383,654.70 and 68,781.85

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Solution

The fourth proportional to 255,770.17, 383,654.70 and 68,781.85 is: 103,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,770.17 : 383,654.70 = 68,781.85 : x
  2. Step 2: Convert to fraction form
    255,770.17/383,654.70 = 68,781.85/x
  3. Step 3: Cross multiply
    255,770.17x = 383,654.70 × 68,781.85
  4. Step 4: Simplify right side
    255,770.17x = 26,388,480,027.20
  5. Step 5: Solve for x
    x = 26,388,480,027.20/255,770.17
  6. Step 6: Final answer
    x = 103,172.63

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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.