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Finding the Fourth Proportional to 27,287.20, 40,930.80 and 26,135.20

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Solution

The fourth proportional to 27,287.20, 40,930.80 and 26,135.20 is: 39,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.20 : 40,930.80 = 26,135.20 : x
  2. Step 2: Convert to fraction form
    27,287.20/40,930.80 = 26,135.20/x
  3. Step 3: Cross multiply
    27,287.20x = 40,930.80 × 26,135.20
  4. Step 4: Simplify right side
    27,287.20x = 1,069,734,644.16
  5. Step 5: Solve for x
    x = 1,069,734,644.16/27,287.20
  6. Step 6: Final answer
    x = 39,202.80

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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.