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Finding the Fourth Proportional to 185,704.46, 256,272.14 and 100,821.54

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Solution

The fourth proportional to 185,704.46, 256,272.14 and 100,821.54 is: 139,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704.46 : 256,272.14 = 100,821.54 : x
  2. Step 2: Convert to fraction form
    185,704.46/256,272.14 = 100,821.54/x
  3. Step 3: Cross multiply
    185,704.46x = 256,272.14 × 100,821.54
  4. Step 4: Simplify right side
    185,704.46x = 25,837,751,813.90
  5. Step 5: Solve for x
    x = 25,837,751,813.90/185,704.46
  6. Step 6: Final answer
    x = 139,133.72

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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.