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Finding the Fourth Proportional to 194,400, 268,272 and 104,976

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Solution

The fourth proportional to 194,400, 268,272 and 104,976 is: 144,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,400 : 268,272 = 104,976 : x
  2. Step 2: Convert to fraction form
    194,400/268,272 = 104,976/x
  3. Step 3: Cross multiply
    194,400x = 268,272 × 104,976
  4. Step 4: Simplify right side
    194,400x = 28,162,121,472
  5. Step 5: Solve for x
    x = 28,162,121,472/194,400
  6. Step 6: Final answer
    x = 144,866.88

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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.