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Finding the Fourth Proportional to 223,937.81, 309,034.44 and 121,963.44

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Solution

The fourth proportional to 223,937.81, 309,034.44 and 121,963.44 is: 168,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,937.81 : 309,034.44 = 121,963.44 : x
  2. Step 2: Convert to fraction form
    223,937.81/309,034.44 = 121,963.44/x
  3. Step 3: Cross multiply
    223,937.81x = 309,034.44 × 121,963.44
  4. Step 4: Simplify right side
    223,937.81x = 37,690,903,380.87
  5. Step 5: Solve for x
    x = 37,690,903,380.87/223,937.81
  6. Step 6: Final answer
    x = 168,309.69

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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.