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Finding the Fourth Proportional to 217,415.94, 299,976.89 and 125,512.71

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Solution

The fourth proportional to 217,415.94, 299,976.89 and 125,512.71 is: 173,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,415.94 : 299,976.89 = 125,512.71 : x
  2. Step 2: Convert to fraction form
    217,415.94/299,976.89 = 125,512.71/x
  3. Step 3: Cross multiply
    217,415.94x = 299,976.89 × 125,512.71
  4. Step 4: Simplify right side
    217,415.94x = 37,650,912,401.27
  5. Step 5: Solve for x
    x = 37,650,912,401.27/217,415.94
  6. Step 6: Final answer
    x = 173,174.57

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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.