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Finding the Fourth Proportional to 254,012.64, 381,193.92 and 87,800.64

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Solution

The fourth proportional to 254,012.64, 381,193.92 and 87,800.64 is: 131,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,012.64 : 381,193.92 = 87,800.64 : x
  2. Step 2: Convert to fraction form
    254,012.64/381,193.92 = 87,800.64/x
  3. Step 3: Cross multiply
    254,012.64x = 381,193.92 × 87,800.64
  4. Step 4: Simplify right side
    254,012.64x = 33,469,070,140.11
  5. Step 5: Solve for x
    x = 33,469,070,140.11/254,012.64
  6. Step 6: Final answer
    x = 131,761.44

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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.