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Finding the Fourth Proportional to 205,819.60, 308,729.40 and 87,494.80

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Solution

The fourth proportional to 205,819.60, 308,729.40 and 87,494.80 is: 131,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,819.60 : 308,729.40 = 87,494.80 : x
  2. Step 2: Convert to fraction form
    205,819.60/308,729.40 = 87,494.80/x
  3. Step 3: Cross multiply
    205,819.60x = 308,729.40 × 87,494.80
  4. Step 4: Simplify right side
    205,819.60x = 27,012,217,107.12
  5. Step 5: Solve for x
    x = 27,012,217,107.12/205,819.60
  6. Step 6: Final answer
    x = 131,242.20

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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.