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Finding the Fourth Proportional to 209,287.20, 313,930.80 and 69,027.60

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Solution

The fourth proportional to 209,287.20, 313,930.80 and 69,027.60 is: 103,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.20 : 313,930.80 = 69,027.60 : x
  2. Step 2: Convert to fraction form
    209,287.20/313,930.80 = 69,027.60/x
  3. Step 3: Cross multiply
    209,287.20x = 313,930.80 × 69,027.60
  4. Step 4: Simplify right side
    209,287.20x = 21,669,889,690.08
  5. Step 5: Solve for x
    x = 21,669,889,690.08/209,287.20
  6. Step 6: Final answer
    x = 103,541.40

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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.