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Finding the Fourth Proportional to 205,299.60, 307,816.20 and 86,938.80

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Solution

The fourth proportional to 205,299.60, 307,816.20 and 86,938.80 is: 130,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,299.60 : 307,816.20 = 86,938.80 : x
  2. Step 2: Convert to fraction form
    205,299.60/307,816.20 = 86,938.80/x
  3. Step 3: Cross multiply
    205,299.60x = 307,816.20 × 86,938.80
  4. Step 4: Simplify right side
    205,299.60x = 26,761,171,048.56
  5. Step 5: Solve for x
    x = 26,761,171,048.56/205,299.60
  6. Step 6: Final answer
    x = 130,351.79

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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.