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Finding the Fourth Proportional to 185,219, 255,604 and 100,337.90

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Solution

The fourth proportional to 185,219, 255,604 and 100,337.90 is: 138,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,219 : 255,604 = 100,337.90 : x
  2. Step 2: Convert to fraction form
    185,219/255,604 = 100,337.90/x
  3. Step 3: Cross multiply
    185,219x = 255,604 × 100,337.90
  4. Step 4: Simplify right side
    185,219x = 25,646,768,591.60
  5. Step 5: Solve for x
    x = 25,646,768,591.60/185,219
  6. Step 6: Final answer
    x = 138,467.27

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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.