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Finding the Fourth Proportional to 47,956.50, 71,963.91 and 20,254.50

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Solution

The fourth proportional to 47,956.50, 71,963.91 and 20,254.50 is: 30,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956.50 : 71,963.91 = 20,254.50 : x
  2. Step 2: Convert to fraction form
    47,956.50/71,963.91 = 20,254.50/x
  3. Step 3: Cross multiply
    47,956.50x = 71,963.91 × 20,254.50
  4. Step 4: Simplify right side
    47,956.50x = 1,457,593,015.10
  5. Step 5: Solve for x
    x = 1,457,593,015.10/47,956.50
  6. Step 6: Final answer
    x = 30,394.07

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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.