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Finding the Fourth Proportional to 381,382.08, 572,100.48 and 100,896

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Solution

The fourth proportional to 381,382.08, 572,100.48 and 100,896 is: 151,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,382.08 : 572,100.48 = 100,896 : x
  2. Step 2: Convert to fraction form
    381,382.08/572,100.48 = 100,896/x
  3. Step 3: Cross multiply
    381,382.08x = 572,100.48 × 100,896
  4. Step 4: Simplify right side
    381,382.08x = 57,722,650,030.08
  5. Step 5: Solve for x
    x = 57,722,650,030.08/381,382.08
  6. Step 6: Final answer
    x = 151,351.24

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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.