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Finding the Fourth Proportional to 226,034, 311,936.64 and 125,432

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Solution

The fourth proportional to 226,034, 311,936.64 and 125,432 is: 173,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,034 : 311,936.64 = 125,432 : x
  2. Step 2: Convert to fraction form
    226,034/311,936.64 = 125,432/x
  3. Step 3: Cross multiply
    226,034x = 311,936.64 × 125,432
  4. Step 4: Simplify right side
    226,034x = 39,126,836,628.48
  5. Step 5: Solve for x
    x = 39,126,836,628.48/226,034
  6. Step 6: Final answer
    x = 173,101.55

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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.