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Finding the Fourth Proportional to 206,031.60, 308,970.60 and 81,346.80

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Solution

The fourth proportional to 206,031.60, 308,970.60 and 81,346.80 is: 121,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,031.60 : 308,970.60 = 81,346.80 : x
  2. Step 2: Convert to fraction form
    206,031.60/308,970.60 = 81,346.80/x
  3. Step 3: Cross multiply
    206,031.60x = 308,970.60 × 81,346.80
  4. Step 4: Simplify right side
    206,031.60x = 25,133,769,604.08
  5. Step 5: Solve for x
    x = 25,133,769,604.08/206,031.60
  6. Step 6: Final answer
    x = 121,989.88

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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.