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Finding the Fourth Proportional to 254,118.44, 381,212.79 and 85,686.95

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Solution

The fourth proportional to 254,118.44, 381,212.79 and 85,686.95 is: 128,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,118.44 : 381,212.79 = 85,686.95 : x
  2. Step 2: Convert to fraction form
    254,118.44/381,212.79 = 85,686.95/x
  3. Step 3: Cross multiply
    254,118.44x = 381,212.79 × 85,686.95
  4. Step 4: Simplify right side
    254,118.44x = 32,664,961,276.09
  5. Step 5: Solve for x
    x = 32,664,961,276.09/254,118.44
  6. Step 6: Final answer
    x = 128,542.27

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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.