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Finding the Fourth Proportional to 185,029.36, 255,340.36 and 100,146.24

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Solution

The fourth proportional to 185,029.36, 255,340.36 and 100,146.24 is: 138,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,029.36 : 255,340.36 = 100,146.24 : x
  2. Step 2: Convert to fraction form
    185,029.36/255,340.36 = 100,146.24/x
  3. Step 3: Cross multiply
    185,029.36x = 255,340.36 × 100,146.24
  4. Step 4: Simplify right side
    185,029.36x = 25,571,376,974.25
  5. Step 5: Solve for x
    x = 25,571,376,974.25/185,029.36
  6. Step 6: Final answer
    x = 138,201.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.