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Finding the Fourth Proportional to 254,044.34, 381,067.19 and 85,682.94

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Solution

The fourth proportional to 254,044.34, 381,067.19 and 85,682.94 is: 128,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,044.34 : 381,067.19 = 85,682.94 : x
  2. Step 2: Convert to fraction form
    254,044.34/381,067.19 = 85,682.94/x
  3. Step 3: Cross multiply
    254,044.34x = 381,067.19 × 85,682.94
  4. Step 4: Simplify right side
    254,044.34x = 32,650,956,748.32
  5. Step 5: Solve for x
    x = 32,650,956,748.32/254,044.34
  6. Step 6: Final answer
    x = 128,524.64

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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.