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Finding the Fourth Proportional to 222,744, 334,109.52 and 82,499.52

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Solution

The fourth proportional to 222,744, 334,109.52 and 82,499.52 is: 123,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,744 : 334,109.52 = 82,499.52 : x
  2. Step 2: Convert to fraction form
    222,744/334,109.52 = 82,499.52/x
  3. Step 3: Cross multiply
    222,744x = 334,109.52 × 82,499.52
  4. Step 4: Simplify right side
    222,744x = 27,563,875,027.43
  5. Step 5: Solve for x
    x = 27,563,875,027.43/222,744
  6. Step 6: Final answer
    x = 123,746.88

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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.