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Finding the Fourth Proportional to 47,663.13, 71,481 and 19,200

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Solution

The fourth proportional to 47,663.13, 71,481 and 19,200 is: 28,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.13 : 71,481 = 19,200 : x
  2. Step 2: Convert to fraction form
    47,663.13/71,481 = 19,200/x
  3. Step 3: Cross multiply
    47,663.13x = 71,481 × 19,200
  4. Step 4: Simplify right side
    47,663.13x = 1,372,435,200
  5. Step 5: Solve for x
    x = 1,372,435,200/47,663.13
  6. Step 6: Final answer
    x = 28,794.48

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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.