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Finding the Fourth Proportional to 47,251.92, 70,829.20 and 20,969.04

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Solution

The fourth proportional to 47,251.92, 70,829.20 and 20,969.04 is: 31,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.92 : 70,829.20 = 20,969.04 : x
  2. Step 2: Convert to fraction form
    47,251.92/70,829.20 = 20,969.04/x
  3. Step 3: Cross multiply
    47,251.92x = 70,829.20 × 20,969.04
  4. Step 4: Simplify right side
    47,251.92x = 1,485,220,327.97
  5. Step 5: Solve for x
    x = 1,485,220,327.97/47,251.92
  6. Step 6: Final answer
    x = 31,431.96

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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.