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Finding the Fourth Proportional to 254,103.29, 381,190.13 and 85,671.83

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Solution

The fourth proportional to 254,103.29, 381,190.13 and 85,671.83 is: 128,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,103.29 : 381,190.13 = 85,671.83 : x
  2. Step 2: Convert to fraction form
    254,103.29/381,190.13 = 85,671.83/x
  3. Step 3: Cross multiply
    254,103.29x = 381,190.13 × 85,671.83
  4. Step 4: Simplify right side
    254,103.29x = 32,657,253,680.73
  5. Step 5: Solve for x
    x = 32,657,253,680.73/254,103.29
  6. Step 6: Final answer
    x = 128,519.60

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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.