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Finding the Fourth Proportional to 185,380, 255,822.88 and 100,494.88

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Solution

The fourth proportional to 185,380, 255,822.88 and 100,494.88 is: 138,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,380 : 255,822.88 = 100,494.88 : x
  2. Step 2: Convert to fraction form
    185,380/255,822.88 = 100,494.88/x
  3. Step 3: Cross multiply
    185,380x = 255,822.88 × 100,494.88
  4. Step 4: Simplify right side
    185,380x = 25,708,889,626.85
  5. Step 5: Solve for x
    x = 25,708,889,626.85/185,380
  6. Step 6: Final answer
    x = 138,682.11

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1.5x scale

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.