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Finding the Fourth Proportional to 185,026, 255,335.88 and 100,143.76

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Solution

The fourth proportional to 185,026, 255,335.88 and 100,143.76 is: 138,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,026 : 255,335.88 = 100,143.76 : x
  2. Step 2: Convert to fraction form
    185,026/255,335.88 = 100,143.76/x
  3. Step 3: Cross multiply
    185,026x = 255,335.88 × 100,143.76
  4. Step 4: Simplify right side
    185,026x = 25,570,295,086.11
  5. Step 5: Solve for x
    x = 25,570,295,086.11/185,026
  6. Step 6: Final answer
    x = 138,198.39

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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.