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Finding the Fourth Proportional to 76,910.31, 106,136.03 and 42,918.44

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Solution

The fourth proportional to 76,910.31, 106,136.03 and 42,918.44 is: 59,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,910.31 : 106,136.03 = 42,918.44 : x
  2. Step 2: Convert to fraction form
    76,910.31/106,136.03 = 42,918.44/x
  3. Step 3: Cross multiply
    76,910.31x = 106,136.03 × 42,918.44
  4. Step 4: Simplify right side
    76,910.31x = 4,555,192,450.07
  5. Step 5: Solve for x
    x = 4,555,192,450.07/76,910.31
  6. Step 6: Final answer
    x = 59,227.33

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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.