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Finding the Fourth Proportional to 194,660, 268,631.04 and 105,236

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Solution

The fourth proportional to 194,660, 268,631.04 and 105,236 is: 145,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,660 : 268,631.04 = 105,236 : x
  2. Step 2: Convert to fraction form
    194,660/268,631.04 = 105,236/x
  3. Step 3: Cross multiply
    194,660x = 268,631.04 × 105,236
  4. Step 4: Simplify right side
    194,660x = 28,269,656,125.44
  5. Step 5: Solve for x
    x = 28,269,656,125.44/194,660
  6. Step 6: Final answer
    x = 145,225.81

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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.