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Finding the Fourth Proportional to 47,355.20, 71,071.20 and 45,819.20

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Solution

The fourth proportional to 47,355.20, 71,071.20 and 45,819.20 is: 68,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,355.20 : 71,071.20 = 45,819.20 : x
  2. Step 2: Convert to fraction form
    47,355.20/71,071.20 = 45,819.20/x
  3. Step 3: Cross multiply
    47,355.20x = 71,071.20 × 45,819.20
  4. Step 4: Simplify right side
    47,355.20x = 3,256,425,527.04
  5. Step 5: Solve for x
    x = 3,256,425,527.04/47,355.20
  6. Step 6: Final answer
    x = 68,765.95

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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.