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Finding the Fourth Proportional to 131,064.40, 196,742.40 and 81,200.80

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Solution

The fourth proportional to 131,064.40, 196,742.40 and 81,200.80 is: 121,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,064.40 : 196,742.40 = 81,200.80 : x
  2. Step 2: Convert to fraction form
    131,064.40/196,742.40 = 81,200.80/x
  3. Step 3: Cross multiply
    131,064.40x = 196,742.40 × 81,200.80
  4. Step 4: Simplify right side
    131,064.40x = 15,975,640,273.92
  5. Step 5: Solve for x
    x = 15,975,640,273.92/131,064.40
  6. Step 6: Final answer
    x = 121,891.53

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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.