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Finding the Fourth Proportional to 254,583.36, 381,983.04 and 136,224

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Solution

The fourth proportional to 254,583.36, 381,983.04 and 136,224 is: 204,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,583.36 : 381,983.04 = 136,224 : x
  2. Step 2: Convert to fraction form
    254,583.36/381,983.04 = 136,224/x
  3. Step 3: Cross multiply
    254,583.36x = 381,983.04 × 136,224
  4. Step 4: Simplify right side
    254,583.36x = 52,035,257,640.96
  5. Step 5: Solve for x
    x = 52,035,257,640.96/254,583.36
  6. Step 6: Final answer
    x = 204,393.79

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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.