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Finding the Fourth Proportional to 206,939.60, 310,409.40 and 73,824.20

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Solution

The fourth proportional to 206,939.60, 310,409.40 and 73,824.20 is: 110,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,939.60 : 310,409.40 = 73,824.20 : x
  2. Step 2: Convert to fraction form
    206,939.60/310,409.40 = 73,824.20/x
  3. Step 3: Cross multiply
    206,939.60x = 310,409.40 × 73,824.20
  4. Step 4: Simplify right side
    206,939.60x = 22,915,725,627.48
  5. Step 5: Solve for x
    x = 22,915,725,627.48/206,939.60
  6. Step 6: Final answer
    x = 110,736.30

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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.