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Finding the Fourth Proportional to 185,740, 256,321.20 and 106,252

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Solution

The fourth proportional to 185,740, 256,321.20 and 106,252 is: 146,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,740 : 256,321.20 = 106,252 : x
  2. Step 2: Convert to fraction form
    185,740/256,321.20 = 106,252/x
  3. Step 3: Cross multiply
    185,740x = 256,321.20 × 106,252
  4. Step 4: Simplify right side
    185,740x = 27,234,640,142.40
  5. Step 5: Solve for x
    x = 27,234,640,142.40/185,740
  6. Step 6: Final answer
    x = 146,627.76

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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.