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Finding the Fourth Proportional to 226,288, 312,287.16 and 125,686

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Solution

The fourth proportional to 226,288, 312,287.16 and 125,686 is: 173,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,288 : 312,287.16 = 125,686 : x
  2. Step 2: Convert to fraction form
    226,288/312,287.16 = 125,686/x
  3. Step 3: Cross multiply
    226,288x = 312,287.16 × 125,686
  4. Step 4: Simplify right side
    226,288x = 39,250,123,991.76
  5. Step 5: Solve for x
    x = 39,250,123,991.76/226,288
  6. Step 6: Final answer
    x = 173,452.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.