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Finding the Fourth Proportional to 71,391.92, 107,056.80 and 38,104.56

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Solution

The fourth proportional to 71,391.92, 107,056.80 and 38,104.56 is: 57,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391.92 : 107,056.80 = 38,104.56 : x
  2. Step 2: Convert to fraction form
    71,391.92/107,056.80 = 38,104.56/x
  3. Step 3: Cross multiply
    71,391.92x = 107,056.80 × 38,104.56
  4. Step 4: Simplify right side
    71,391.92x = 4,079,352,259.01
  5. Step 5: Solve for x
    x = 4,079,352,259.01/71,391.92
  6. Step 6: Final answer
    x = 57,140.25

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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.