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Finding the Fourth Proportional to 100,867.65, 139,067.28 and 82,650.65

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Solution

The fourth proportional to 100,867.65, 139,067.28 and 82,650.65 is: 113,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867.65 : 139,067.28 = 82,650.65 : x
  2. Step 2: Convert to fraction form
    100,867.65/139,067.28 = 82,650.65/x
  3. Step 3: Cross multiply
    100,867.65x = 139,067.28 × 82,650.65
  4. Step 4: Simplify right side
    100,867.65x = 11,494,000,390.40
  5. Step 5: Solve for x
    x = 11,494,000,390.40/100,867.65
  6. Step 6: Final answer
    x = 113,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.