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Finding the Fourth Proportional to 194,667.75, 268,641.90 and 105,243.75

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Solution

The fourth proportional to 194,667.75, 268,641.90 and 105,243.75 is: 145,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,667.75 : 268,641.90 = 105,243.75 : x
  2. Step 2: Convert to fraction form
    194,667.75/268,641.90 = 105,243.75/x
  3. Step 3: Cross multiply
    194,667.75x = 268,641.90 × 105,243.75
  4. Step 4: Simplify right side
    194,667.75x = 28,272,880,963.13
  5. Step 5: Solve for x
    x = 28,272,880,963.13/194,667.75
  6. Step 6: Final answer
    x = 145,236.59

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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.