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Finding the Fourth Proportional to 109,251.43, 150,769.80 and 61,506.50

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Solution

The fourth proportional to 109,251.43, 150,769.80 and 61,506.50 is: 84,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,251.43 : 150,769.80 = 61,506.50 : x
  2. Step 2: Convert to fraction form
    109,251.43/150,769.80 = 61,506.50/x
  3. Step 3: Cross multiply
    109,251.43x = 150,769.80 × 61,506.50
  4. Step 4: Simplify right side
    109,251.43x = 9,273,321,949.85
  5. Step 5: Solve for x
    x = 9,273,321,949.85/109,251.43
  6. Step 6: Final answer
    x = 84,880.56

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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.