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Finding the Fourth Proportional to 185,262.98, 255,663.08 and 100,380.03

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Solution

The fourth proportional to 185,262.98, 255,663.08 and 100,380.03 is: 138,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,262.98 : 255,663.08 = 100,380.03 : x
  2. Step 2: Convert to fraction form
    185,262.98/255,663.08 = 100,380.03/x
  3. Step 3: Cross multiply
    185,262.98x = 255,663.08 × 100,380.03
  4. Step 4: Simplify right side
    185,262.98x = 25,663,467,138.39
  5. Step 5: Solve for x
    x = 25,663,467,138.39/185,262.98
  6. Step 6: Final answer
    x = 138,524.53

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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.