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Finding the Fourth Proportional to 128,172.44, 192,258.05 and 71,219.51

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Solution

The fourth proportional to 128,172.44, 192,258.05 and 71,219.51 is: 106,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,172.44 : 192,258.05 = 71,219.51 : x
  2. Step 2: Convert to fraction form
    128,172.44/192,258.05 = 71,219.51/x
  3. Step 3: Cross multiply
    128,172.44x = 192,258.05 × 71,219.51
  4. Step 4: Simplify right side
    128,172.44x = 13,692,524,239.10
  5. Step 5: Solve for x
    x = 13,692,524,239.10/128,172.44
  6. Step 6: Final answer
    x = 106,828.93

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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.