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Finding the Fourth Proportional to 131,200.70, 196,509.45 and 107,872.70

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Solution

The fourth proportional to 131,200.70, 196,509.45 and 107,872.70 is: 161,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,200.70 : 196,509.45 = 107,872.70 : x
  2. Step 2: Convert to fraction form
    131,200.70/196,509.45 = 107,872.70/x
  3. Step 3: Cross multiply
    131,200.70x = 196,509.45 × 107,872.70
  4. Step 4: Simplify right side
    131,200.70x = 21,198,004,947.02
  5. Step 5: Solve for x
    x = 21,198,004,947.02/131,200.70
  6. Step 6: Final answer
    x = 161,569.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.