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Finding the Fourth Proportional to 71,487.81, 107,122.37 and 38,212.61

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Solution

The fourth proportional to 71,487.81, 107,122.37 and 38,212.61 is: 57,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487.81 : 107,122.37 = 38,212.61 : x
  2. Step 2: Convert to fraction form
    71,487.81/107,122.37 = 38,212.61/x
  3. Step 3: Cross multiply
    71,487.81x = 107,122.37 × 38,212.61
  4. Step 4: Simplify right side
    71,487.81x = 4,093,424,620.41
  5. Step 5: Solve for x
    x = 4,093,424,620.41/71,487.81
  6. Step 6: Final answer
    x = 57,260.46

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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.