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Finding the Fourth Proportional to 87,682.76, 121,002.22 and 49,957

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Solution

The fourth proportional to 87,682.76, 121,002.22 and 49,957 is: 68,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682.76 : 121,002.22 = 49,957 : x
  2. Step 2: Convert to fraction form
    87,682.76/121,002.22 = 49,957/x
  3. Step 3: Cross multiply
    87,682.76x = 121,002.22 × 49,957
  4. Step 4: Simplify right side
    87,682.76x = 6,044,907,904.54
  5. Step 5: Solve for x
    x = 6,044,907,904.54/87,682.76
  6. Step 6: Final answer
    x = 68,940.67

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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.