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Finding the Fourth Proportional to 207,286.20, 310,929.30 and 137,244.60

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Solution

The fourth proportional to 207,286.20, 310,929.30 and 137,244.60 is: 205,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,286.20 : 310,929.30 = 137,244.60 : x
  2. Step 2: Convert to fraction form
    207,286.20/310,929.30 = 137,244.60/x
  3. Step 3: Cross multiply
    207,286.20x = 310,929.30 × 137,244.60
  4. Step 4: Simplify right side
    207,286.20x = 42,673,367,406.78
  5. Step 5: Solve for x
    x = 42,673,367,406.78/207,286.20
  6. Step 6: Final answer
    x = 205,866.90

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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.