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Finding the Fourth Proportional to 47,799, 71,698.50 and 20,097

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Solution

The fourth proportional to 47,799, 71,698.50 and 20,097 is: 30,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,799 : 71,698.50 = 20,097 : x
  2. Step 2: Convert to fraction form
    47,799/71,698.50 = 20,097/x
  3. Step 3: Cross multiply
    47,799x = 71,698.50 × 20,097
  4. Step 4: Simplify right side
    47,799x = 1,440,924,754.50
  5. Step 5: Solve for x
    x = 1,440,924,754.50/47,799
  6. Step 6: Final answer
    x = 30,145.50

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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.