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Finding the Fourth Proportional to 96,819.30, 145,229.06 and 30,259.78

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Solution

The fourth proportional to 96,819.30, 145,229.06 and 30,259.78 is: 45,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,819.30 : 145,229.06 = 30,259.78 : x
  2. Step 2: Convert to fraction form
    96,819.30/145,229.06 = 30,259.78/x
  3. Step 3: Cross multiply
    96,819.30x = 145,229.06 × 30,259.78
  4. Step 4: Simplify right side
    96,819.30x = 4,394,599,160.34
  5. Step 5: Solve for x
    x = 4,394,599,160.34/96,819.30
  6. Step 6: Final answer
    x = 45,389.70

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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.