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Finding the Fourth Proportional to 228,589.06, 315,401.97 and 137,959.78

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Solution

The fourth proportional to 228,589.06, 315,401.97 and 137,959.78 is: 190,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,589.06 : 315,401.97 = 137,959.78 : x
  2. Step 2: Convert to fraction form
    228,589.06/315,401.97 = 137,959.78/x
  3. Step 3: Cross multiply
    228,589.06x = 315,401.97 × 137,959.78
  4. Step 4: Simplify right side
    228,589.06x = 43,512,786,392.77
  5. Step 5: Solve for x
    x = 43,512,786,392.77/228,589.06
  6. Step 6: Final answer
    x = 190,353.76

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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.