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Finding the Fourth Proportional to 254,013.64, 381,195.42 and 87,801.64

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Solution

The fourth proportional to 254,013.64, 381,195.42 and 87,801.64 is: 131,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,013.64 : 381,195.42 = 87,801.64 : x
  2. Step 2: Convert to fraction form
    254,013.64/381,195.42 = 87,801.64/x
  3. Step 3: Cross multiply
    254,013.64x = 381,195.42 × 87,801.64
  4. Step 4: Simplify right side
    254,013.64x = 33,469,583,036.49
  5. Step 5: Solve for x
    x = 33,469,583,036.49/254,013.64
  6. Step 6: Final answer
    x = 131,762.94

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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.