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Finding the Fourth Proportional to 66,787, 100,180.50 and 29,851

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Solution

The fourth proportional to 66,787, 100,180.50 and 29,851 is: 44,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787 : 100,180.50 = 29,851 : x
  2. Step 2: Convert to fraction form
    66,787/100,180.50 = 29,851/x
  3. Step 3: Cross multiply
    66,787x = 100,180.50 × 29,851
  4. Step 4: Simplify right side
    66,787x = 2,990,488,105.50
  5. Step 5: Solve for x
    x = 2,990,488,105.50/66,787
  6. Step 6: Final answer
    x = 44,776.50

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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.