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Finding the Fourth Proportional to 194,900, 268,963.62 and 105,476

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Solution

The fourth proportional to 194,900, 268,963.62 and 105,476 is: 145,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900 : 268,963.62 = 105,476 : x
  2. Step 2: Convert to fraction form
    194,900/268,963.62 = 105,476/x
  3. Step 3: Cross multiply
    194,900x = 268,963.62 × 105,476
  4. Step 4: Simplify right side
    194,900x = 28,369,206,783.12
  5. Step 5: Solve for x
    x = 28,369,206,783.12/194,900
  6. Step 6: Final answer
    x = 145,557.76

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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.