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Finding the Fourth Proportional to 185,262.81, 255,662.75 and 100,379.88

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Solution

The fourth proportional to 185,262.81, 255,662.75 and 100,379.88 is: 138,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,262.81 : 255,662.75 = 100,379.88 : x
  2. Step 2: Convert to fraction form
    185,262.81/255,662.75 = 100,379.88/x
  3. Step 3: Cross multiply
    185,262.81x = 255,662.75 × 100,379.88
  4. Step 4: Simplify right side
    185,262.81x = 25,663,395,663.57
  5. Step 5: Solve for x
    x = 25,663,395,663.57/185,262.81
  6. Step 6: Final answer
    x = 138,524.27

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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.