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Finding the Fourth Proportional to 47,907.98, 71,844.68 and 20,208.14

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Solution

The fourth proportional to 47,907.98, 71,844.68 and 20,208.14 is: 30,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,907.98 : 71,844.68 = 20,208.14 : x
  2. Step 2: Convert to fraction form
    47,907.98/71,844.68 = 20,208.14/x
  3. Step 3: Cross multiply
    47,907.98x = 71,844.68 × 20,208.14
  4. Step 4: Simplify right side
    47,907.98x = 1,451,847,351.70
  5. Step 5: Solve for x
    x = 1,451,847,351.70/47,907.98
  6. Step 6: Final answer
    x = 30,304.92

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1.5x scale

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.