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Finding the Fourth Proportional to 66,786, 100,179 and 29,850

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Solution

The fourth proportional to 66,786, 100,179 and 29,850 is: 44,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786 : 100,179 = 29,850 : x
  2. Step 2: Convert to fraction form
    66,786/100,179 = 29,850/x
  3. Step 3: Cross multiply
    66,786x = 100,179 × 29,850
  4. Step 4: Simplify right side
    66,786x = 2,990,343,150
  5. Step 5: Solve for x
    x = 2,990,343,150/66,786
  6. Step 6: Final answer
    x = 44,775

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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.