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Finding the Fourth Proportional to 47,909.20, 71,863.80 and 18,311.80

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Solution

The fourth proportional to 47,909.20, 71,863.80 and 18,311.80 is: 27,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,909.20 : 71,863.80 = 18,311.80 : x
  2. Step 2: Convert to fraction form
    47,909.20/71,863.80 = 18,311.80/x
  3. Step 3: Cross multiply
    47,909.20x = 71,863.80 × 18,311.80
  4. Step 4: Simplify right side
    47,909.20x = 1,315,955,532.84
  5. Step 5: Solve for x
    x = 1,315,955,532.84/47,909.20
  6. Step 6: Final answer
    x = 27,467.70

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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.