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Finding the Fourth Proportional to 47,502, 71,253 and 19,800

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Solution

The fourth proportional to 47,502, 71,253 and 19,800 is: 29,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502 : 71,253 = 19,800 : x
  2. Step 2: Convert to fraction form
    47,502/71,253 = 19,800/x
  3. Step 3: Cross multiply
    47,502x = 71,253 × 19,800
  4. Step 4: Simplify right side
    47,502x = 1,410,809,400
  5. Step 5: Solve for x
    x = 1,410,809,400/47,502
  6. Step 6: Final answer
    x = 29,700

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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.