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Finding the Fourth Proportional to 71,871.36, 107,826.48 and 40,728.48

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Solution

The fourth proportional to 71,871.36, 107,826.48 and 40,728.48 is: 61,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.36 : 107,826.48 = 40,728.48 : x
  2. Step 2: Convert to fraction form
    71,871.36/107,826.48 = 40,728.48/x
  3. Step 3: Cross multiply
    71,871.36x = 107,826.48 × 40,728.48
  4. Step 4: Simplify right side
    71,871.36x = 4,391,608,634.15
  5. Step 5: Solve for x
    x = 4,391,608,634.15/71,871.36
  6. Step 6: Final answer
    x = 61,103.74

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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.