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Finding the Fourth Proportional to 381,006.72, 571,109.96 and 128,199.44

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Solution

The fourth proportional to 381,006.72, 571,109.96 and 128,199.44 is: 192,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.72 : 571,109.96 = 128,199.44 : x
  2. Step 2: Convert to fraction form
    381,006.72/571,109.96 = 128,199.44/x
  3. Step 3: Cross multiply
    381,006.72x = 571,109.96 × 128,199.44
  4. Step 4: Simplify right side
    381,006.72x = 73,215,977,050.42
  5. Step 5: Solve for x
    x = 73,215,977,050.42/381,006.72
  6. Step 6: Final answer
    x = 192,164.53

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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.