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Finding the Fourth Proportional to 38,209.60, 57,314.40 and 22,619.20

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Solution

The fourth proportional to 38,209.60, 57,314.40 and 22,619.20 is: 33,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.60 : 57,314.40 = 22,619.20 : x
  2. Step 2: Convert to fraction form
    38,209.60/57,314.40 = 22,619.20/x
  3. Step 3: Cross multiply
    38,209.60x = 57,314.40 × 22,619.20
  4. Step 4: Simplify right side
    38,209.60x = 1,296,405,876.48
  5. Step 5: Solve for x
    x = 1,296,405,876.48/38,209.60
  6. Step 6: Final answer
    x = 33,928.80

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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.