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Finding the Fourth Proportional to 206,852.28, 310,201.78 and 73,697.20

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Solution

The fourth proportional to 206,852.28, 310,201.78 and 73,697.20 is: 110,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.28 : 310,201.78 = 73,697.20 : x
  2. Step 2: Convert to fraction form
    206,852.28/310,201.78 = 73,697.20/x
  3. Step 3: Cross multiply
    206,852.28x = 310,201.78 × 73,697.20
  4. Step 4: Simplify right side
    206,852.28x = 22,861,002,621.02
  5. Step 5: Solve for x
    x = 22,861,002,621.02/206,852.28
  6. Step 6: Final answer
    x = 110,518.49

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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.