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Finding the Fourth Proportional to 381,266.72, 571,902.24 and 100,781

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Solution

The fourth proportional to 381,266.72, 571,902.24 and 100,781 is: 151,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,266.72 : 571,902.24 = 100,781 : x
  2. Step 2: Convert to fraction form
    381,266.72/571,902.24 = 100,781/x
  3. Step 3: Cross multiply
    381,266.72x = 571,902.24 × 100,781
  4. Step 4: Simplify right side
    381,266.72x = 57,636,879,649.44
  5. Step 5: Solve for x
    x = 57,636,879,649.44/381,266.72
  6. Step 6: Final answer
    x = 151,172.07

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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.