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Finding the Fourth Proportional to 194,500, 268,410 and 105,076

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Solution

The fourth proportional to 194,500, 268,410 and 105,076 is: 145,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,500 : 268,410 = 105,076 : x
  2. Step 2: Convert to fraction form
    194,500/268,410 = 105,076/x
  3. Step 3: Cross multiply
    194,500x = 268,410 × 105,076
  4. Step 4: Simplify right side
    194,500x = 28,203,449,160
  5. Step 5: Solve for x
    x = 28,203,449,160/194,500
  6. Step 6: Final answer
    x = 145,004.88

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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.