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Finding the Fourth Proportional to 381,249.72, 571,876.74 and 100,764

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Solution

The fourth proportional to 381,249.72, 571,876.74 and 100,764 is: 151,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,249.72 : 571,876.74 = 100,764 : x
  2. Step 2: Convert to fraction form
    381,249.72/571,876.74 = 100,764/x
  3. Step 3: Cross multiply
    381,249.72x = 571,876.74 × 100,764
  4. Step 4: Simplify right side
    381,249.72x = 57,624,587,829.36
  5. Step 5: Solve for x
    x = 57,624,587,829.36/381,249.72
  6. Step 6: Final answer
    x = 151,146.57

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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.