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Finding the Fourth Proportional to 226,719.20, 340,064.40 and 76,959.20

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Solution

The fourth proportional to 226,719.20, 340,064.40 and 76,959.20 is: 115,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,719.20 : 340,064.40 = 76,959.20 : x
  2. Step 2: Convert to fraction form
    226,719.20/340,064.40 = 76,959.20/x
  3. Step 3: Cross multiply
    226,719.20x = 340,064.40 × 76,959.20
  4. Step 4: Simplify right side
    226,719.20x = 26,171,084,172.48
  5. Step 5: Solve for x
    x = 26,171,084,172.48/226,719.20
  6. Step 6: Final answer
    x = 115,433.91

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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.