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Finding the Fourth Proportional to 164,491.21, 226,998.21 and 89,039.71

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Solution

The fourth proportional to 164,491.21, 226,998.21 and 89,039.71 is: 122,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,491.21 : 226,998.21 = 89,039.71 : x
  2. Step 2: Convert to fraction form
    164,491.21/226,998.21 = 89,039.71/x
  3. Step 3: Cross multiply
    164,491.21x = 226,998.21 × 89,039.71
  4. Step 4: Simplify right side
    164,491.21x = 20,211,854,788.92
  5. Step 5: Solve for x
    x = 20,211,854,788.92/164,491.21
  6. Step 6: Final answer
    x = 122,874.98

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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.