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Finding the Fourth Proportional to 272,201.22, 408,384.90 and 139,174.92

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Solution

The fourth proportional to 272,201.22, 408,384.90 and 139,174.92 is: 208,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,201.22 : 408,384.90 = 139,174.92 : x
  2. Step 2: Convert to fraction form
    272,201.22/408,384.90 = 139,174.92/x
  3. Step 3: Cross multiply
    272,201.22x = 408,384.90 × 139,174.92
  4. Step 4: Simplify right side
    272,201.22x = 56,836,935,786.71
  5. Step 5: Solve for x
    x = 56,836,935,786.71/272,201.22
  6. Step 6: Final answer
    x = 208,804.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.