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Finding the Fourth Proportional to 194,906.81, 268,971.41 and 105,482.81

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Solution

The fourth proportional to 194,906.81, 268,971.41 and 105,482.81 is: 145,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.81 : 268,971.41 = 105,482.81 : x
  2. Step 2: Convert to fraction form
    194,906.81/268,971.41 = 105,482.81/x
  3. Step 3: Cross multiply
    194,906.81x = 268,971.41 × 105,482.81
  4. Step 4: Simplify right side
    194,906.81x = 28,371,861,072.60
  5. Step 5: Solve for x
    x = 28,371,861,072.60/194,906.81
  6. Step 6: Final answer
    x = 145,566.29

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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.