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Finding the Fourth Proportional to 205,910.40, 309,038.40 and 100,819.20

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Solution

The fourth proportional to 205,910.40, 309,038.40 and 100,819.20 is: 151,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,910.40 : 309,038.40 = 100,819.20 : x
  2. Step 2: Convert to fraction form
    205,910.40/309,038.40 = 100,819.20/x
  3. Step 3: Cross multiply
    205,910.40x = 309,038.40 × 100,819.20
  4. Step 4: Simplify right side
    205,910.40x = 31,157,004,257.28
  5. Step 5: Solve for x
    x = 31,157,004,257.28/205,910.40
  6. Step 6: Final answer
    x = 151,313.41

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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.