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Finding the Fourth Proportional to 47,996, 71,980.48 and 28,748.96

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Solution

The fourth proportional to 47,996, 71,980.48 and 28,748.96 is: 43,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,996 : 71,980.48 = 28,748.96 : x
  2. Step 2: Convert to fraction form
    47,996/71,980.48 = 28,748.96/x
  3. Step 3: Cross multiply
    47,996x = 71,980.48 × 28,748.96
  4. Step 4: Simplify right side
    47,996x = 2,069,363,940.30
  5. Step 5: Solve for x
    x = 2,069,363,940.30/47,996
  6. Step 6: Final answer
    x = 43,115.34

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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.