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Finding the Fourth Proportional to 100,910.75, 139,261.16 and 56,198.75

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Solution

The fourth proportional to 100,910.75, 139,261.16 and 56,198.75 is: 77,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,910.75 : 139,261.16 = 56,198.75 : x
  2. Step 2: Convert to fraction form
    100,910.75/139,261.16 = 56,198.75/x
  3. Step 3: Cross multiply
    100,910.75x = 139,261.16 × 56,198.75
  4. Step 4: Simplify right side
    100,910.75x = 7,826,302,834.56
  5. Step 5: Solve for x
    x = 7,826,302,834.56/100,910.75
  6. Step 6: Final answer
    x = 77,556.68

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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.