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Finding the Fourth Proportional to 185,388.54, 255,837.90 and 100,505.82

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Solution

The fourth proportional to 185,388.54, 255,837.90 and 100,505.82 is: 138,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,388.54 : 255,837.90 = 100,505.82 : x
  2. Step 2: Convert to fraction form
    185,388.54/255,837.90 = 100,505.82/x
  3. Step 3: Cross multiply
    185,388.54x = 255,837.90 × 100,505.82
  4. Step 4: Simplify right side
    185,388.54x = 25,713,197,926.58
  5. Step 5: Solve for x
    x = 25,713,197,926.58/185,388.54
  6. Step 6: Final answer
    x = 138,698.96

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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.