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Finding the Fourth Proportional to 194,894.50, 268,954.55 and 105,470.50

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Solution

The fourth proportional to 194,894.50, 268,954.55 and 105,470.50 is: 145,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,894.50 : 268,954.55 = 105,470.50 : x
  2. Step 2: Convert to fraction form
    194,894.50/268,954.55 = 105,470.50/x
  3. Step 3: Cross multiply
    194,894.50x = 268,954.55 × 105,470.50
  4. Step 4: Simplify right side
    194,894.50x = 28,366,770,865.78
  5. Step 5: Solve for x
    x = 28,366,770,865.78/194,894.50
  6. Step 6: Final answer
    x = 145,549.37

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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.