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Finding the Fourth Proportional to 66,782.89, 100,165.86 and 18,755.84

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Solution

The fourth proportional to 66,782.89, 100,165.86 and 18,755.84 is: 28,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.89 : 100,165.86 = 18,755.84 : x
  2. Step 2: Convert to fraction form
    66,782.89/100,165.86 = 18,755.84/x
  3. Step 3: Cross multiply
    66,782.89x = 100,165.86 × 18,755.84
  4. Step 4: Simplify right side
    66,782.89x = 1,878,695,094.04
  5. Step 5: Solve for x
    x = 1,878,695,094.04/66,782.89
  6. Step 6: Final answer
    x = 28,131.38

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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.