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Finding the Fourth Proportional to 47,128.20, 70,692.30 and 20,819.40

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Solution

The fourth proportional to 47,128.20, 70,692.30 and 20,819.40 is: 31,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128.20 : 70,692.30 = 20,819.40 : x
  2. Step 2: Convert to fraction form
    47,128.20/70,692.30 = 20,819.40/x
  3. Step 3: Cross multiply
    47,128.20x = 70,692.30 × 20,819.40
  4. Step 4: Simplify right side
    47,128.20x = 1,471,771,270.62
  5. Step 5: Solve for x
    x = 1,471,771,270.62/47,128.20
  6. Step 6: Final answer
    x = 31,229.10

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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.