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Finding the Fourth Proportional to 185,076.15, 255,405.15 and 100,193.19

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Solution

The fourth proportional to 185,076.15, 255,405.15 and 100,193.19 is: 138,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,076.15 : 255,405.15 = 100,193.19 : x
  2. Step 2: Convert to fraction form
    185,076.15/255,405.15 = 100,193.19/x
  3. Step 3: Cross multiply
    185,076.15x = 255,405.15 × 100,193.19
  4. Step 4: Simplify right side
    185,076.15x = 25,589,856,720.93
  5. Step 5: Solve for x
    x = 25,589,856,720.93/185,076.15
  6. Step 6: Final answer
    x = 138,266.64

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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.