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Finding the Fourth Proportional to 76,910.78, 106,136.82 and 43,376.78

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Solution

The fourth proportional to 76,910.78, 106,136.82 and 43,376.78 is: 59,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,910.78 : 106,136.82 = 43,376.78 : x
  2. Step 2: Convert to fraction form
    76,910.78/106,136.82 = 43,376.78/x
  3. Step 3: Cross multiply
    76,910.78x = 106,136.82 × 43,376.78
  4. Step 4: Simplify right side
    76,910.78x = 4,603,873,491.04
  5. Step 5: Solve for x
    x = 4,603,873,491.04/76,910.78
  6. Step 6: Final answer
    x = 59,859.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.