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Finding the Fourth Proportional to 133,819.02, 200,838.96 and 67,278.06

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Solution

The fourth proportional to 133,819.02, 200,838.96 and 67,278.06 is: 100,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.02 : 200,838.96 = 67,278.06 : x
  2. Step 2: Convert to fraction form
    133,819.02/200,838.96 = 67,278.06/x
  3. Step 3: Cross multiply
    133,819.02x = 200,838.96 × 67,278.06
  4. Step 4: Simplify right side
    133,819.02x = 13,512,055,601.22
  5. Step 5: Solve for x
    x = 13,512,055,601.22/133,819.02
  6. Step 6: Final answer
    x = 100,972.61

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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.