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Finding the Fourth Proportional to 100,961.21, 139,327.43 and 55,640.86

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Solution

The fourth proportional to 100,961.21, 139,327.43 and 55,640.86 is: 76,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961.21 : 139,327.43 = 55,640.86 : x
  2. Step 2: Convert to fraction form
    100,961.21/139,327.43 = 55,640.86/x
  3. Step 3: Cross multiply
    100,961.21x = 139,327.43 × 55,640.86
  4. Step 4: Simplify right side
    100,961.21x = 7,752,297,400.27
  5. Step 5: Solve for x
    x = 7,752,297,400.27/100,961.21
  6. Step 6: Final answer
    x = 76,784.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.