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Finding the Fourth Proportional to 128,731.20, 193,039.20 and 49,819.20

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Solution

The fourth proportional to 128,731.20, 193,039.20 and 49,819.20 is: 74,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,731.20 : 193,039.20 = 49,819.20 : x
  2. Step 2: Convert to fraction form
    128,731.20/193,039.20 = 49,819.20/x
  3. Step 3: Cross multiply
    128,731.20x = 193,039.20 × 49,819.20
  4. Step 4: Simplify right side
    128,731.20x = 9,617,058,512.64
  5. Step 5: Solve for x
    x = 9,617,058,512.64/128,731.20
  6. Step 6: Final answer
    x = 74,706.51

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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.