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Finding the Fourth Proportional to 208,778.78, 313,165.43 and 51,008.60

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Solution

The fourth proportional to 208,778.78, 313,165.43 and 51,008.60 is: 76,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,778.78 : 313,165.43 = 51,008.60 : x
  2. Step 2: Convert to fraction form
    208,778.78/313,165.43 = 51,008.60/x
  3. Step 3: Cross multiply
    208,778.78x = 313,165.43 × 51,008.60
  4. Step 4: Simplify right side
    208,778.78x = 15,974,128,714.39
  5. Step 5: Solve for x
    x = 15,974,128,714.39/208,778.78
  6. Step 6: Final answer
    x = 76,512.23

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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.