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Finding the Fourth Proportional to 185,751.02, 256,337.66 and 100,868.09

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Solution

The fourth proportional to 185,751.02, 256,337.66 and 100,868.09 is: 139,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,751.02 : 256,337.66 = 100,868.09 : x
  2. Step 2: Convert to fraction form
    185,751.02/256,337.66 = 100,868.09/x
  3. Step 3: Cross multiply
    185,751.02x = 256,337.66 × 100,868.09
  4. Step 4: Simplify right side
    185,751.02x = 25,856,289,129.75
  5. Step 5: Solve for x
    x = 25,856,289,129.75/185,751.02
  6. Step 6: Final answer
    x = 139,198.64

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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.