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Finding the Fourth Proportional to 66,781.60, 100,185.76 and 24,661.94

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Solution

The fourth proportional to 66,781.60, 100,185.76 and 24,661.94 is: 36,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,781.60 : 100,185.76 = 24,661.94 : x
  2. Step 2: Convert to fraction form
    66,781.60/100,185.76 = 24,661.94/x
  3. Step 3: Cross multiply
    66,781.60x = 100,185.76 × 24,661.94
  4. Step 4: Simplify right side
    66,781.60x = 2,470,775,201.97
  5. Step 5: Solve for x
    x = 2,470,775,201.97/66,781.60
  6. Step 6: Final answer
    x = 36,997.84

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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.