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Finding the Fourth Proportional to 164,091.20, 226,446 and 88,639.68

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Solution

The fourth proportional to 164,091.20, 226,446 and 88,639.68 is: 122,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,091.20 : 226,446 = 88,639.68 : x
  2. Step 2: Convert to fraction form
    164,091.20/226,446 = 88,639.68/x
  3. Step 3: Cross multiply
    164,091.20x = 226,446 × 88,639.68
  4. Step 4: Simplify right side
    164,091.20x = 20,072,100,977.28
  5. Step 5: Solve for x
    x = 20,072,100,977.28/164,091.20
  6. Step 6: Final answer
    x = 122,322.84

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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.