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Finding the Fourth Proportional to 164,172.56, 226,558.08 and 88,721

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Solution

The fourth proportional to 164,172.56, 226,558.08 and 88,721 is: 122,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,172.56 : 226,558.08 = 88,721 : x
  2. Step 2: Convert to fraction form
    164,172.56/226,558.08 = 88,721/x
  3. Step 3: Cross multiply
    164,172.56x = 226,558.08 × 88,721
  4. Step 4: Simplify right side
    164,172.56x = 20,100,459,415.68
  5. Step 5: Solve for x
    x = 20,100,459,415.68/164,172.56
  6. Step 6: Final answer
    x = 122,434.95

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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.