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Finding the Fourth Proportional to 185,328, 255,751.20 and 100,442.88

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Solution

The fourth proportional to 185,328, 255,751.20 and 100,442.88 is: 138,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,328 : 255,751.20 = 100,442.88 : x
  2. Step 2: Convert to fraction form
    185,328/255,751.20 = 100,442.88/x
  3. Step 3: Cross multiply
    185,328x = 255,751.20 × 100,442.88
  4. Step 4: Simplify right side
    185,328x = 25,688,387,091.46
  5. Step 5: Solve for x
    x = 25,688,387,091.46/185,328
  6. Step 6: Final answer
    x = 138,610.39

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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.