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Finding the Fourth Proportional to 128,529.80, 192,564.30 and 110,097.80

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Solution

The fourth proportional to 128,529.80, 192,564.30 and 110,097.80 is: 164,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,529.80 : 192,564.30 = 110,097.80 : x
  2. Step 2: Convert to fraction form
    128,529.80/192,564.30 = 110,097.80/x
  3. Step 3: Cross multiply
    128,529.80x = 192,564.30 × 110,097.80
  4. Step 4: Simplify right side
    128,529.80x = 21,200,905,788.54
  5. Step 5: Solve for x
    x = 21,200,905,788.54/128,529.80
  6. Step 6: Final answer
    x = 164,949.34

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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.