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Finding the Fourth Proportional to 185,739, 256,319.82 and 106,251

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Solution

The fourth proportional to 185,739, 256,319.82 and 106,251 is: 146,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,739 : 256,319.82 = 106,251 : x
  2. Step 2: Convert to fraction form
    185,739/256,319.82 = 106,251/x
  3. Step 3: Cross multiply
    185,739x = 256,319.82 × 106,251
  4. Step 4: Simplify right side
    185,739x = 27,234,237,194.82
  5. Step 5: Solve for x
    x = 27,234,237,194.82/185,739
  6. Step 6: Final answer
    x = 146,626.38

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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.