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Finding the Fourth Proportional to 68,046.28, 102,067.78 and 47,972.86

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Solution

The fourth proportional to 68,046.28, 102,067.78 and 47,972.86 is: 71,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.28 : 102,067.78 = 47,972.86 : x
  2. Step 2: Convert to fraction form
    68,046.28/102,067.78 = 47,972.86/x
  3. Step 3: Cross multiply
    68,046.28x = 102,067.78 × 47,972.86
  4. Step 4: Simplify right side
    68,046.28x = 4,896,483,320.45
  5. Step 5: Solve for x
    x = 4,896,483,320.45/68,046.28
  6. Step 6: Final answer
    x = 71,958.13

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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.