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Finding the Fourth Proportional to 66,864, 100,300.86 and 25,311

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Solution

The fourth proportional to 66,864, 100,300.86 and 25,311 is: 37,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,864 : 100,300.86 = 25,311 : x
  2. Step 2: Convert to fraction form
    66,864/100,300.86 = 25,311/x
  3. Step 3: Cross multiply
    66,864x = 100,300.86 × 25,311
  4. Step 4: Simplify right side
    66,864x = 2,538,715,067.46
  5. Step 5: Solve for x
    x = 2,538,715,067.46/66,864
  6. Step 6: Final answer
    x = 37,968.34

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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.