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Finding the Fourth Proportional to 45,098.80, 67,651.16 and 11,819.68

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Solution

The fourth proportional to 45,098.80, 67,651.16 and 11,819.68 is: 17,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098.80 : 67,651.16 = 11,819.68 : x
  2. Step 2: Convert to fraction form
    45,098.80/67,651.16 = 11,819.68/x
  3. Step 3: Cross multiply
    45,098.80x = 67,651.16 × 11,819.68
  4. Step 4: Simplify right side
    45,098.80x = 799,615,062.83
  5. Step 5: Solve for x
    x = 799,615,062.83/45,098.80
  6. Step 6: Final answer
    x = 17,730.30

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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.