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Finding the Fourth Proportional to 131,071.20, 196,315.20 and 107,743.20

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Solution

The fourth proportional to 131,071.20, 196,315.20 and 107,743.20 is: 161,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,071.20 : 196,315.20 = 107,743.20 : x
  2. Step 2: Convert to fraction form
    131,071.20/196,315.20 = 107,743.20/x
  3. Step 3: Cross multiply
    131,071.20x = 196,315.20 × 107,743.20
  4. Step 4: Simplify right side
    131,071.20x = 21,151,627,856.64
  5. Step 5: Solve for x
    x = 21,151,627,856.64/131,071.20
  6. Step 6: Final answer
    x = 161,375.10

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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.