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Finding the Fourth Proportional to 128,137.68, 192,206.52 and 58,015.44

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Solution

The fourth proportional to 128,137.68, 192,206.52 and 58,015.44 is: 87,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,137.68 : 192,206.52 = 58,015.44 : x
  2. Step 2: Convert to fraction form
    128,137.68/192,206.52 = 58,015.44/x
  3. Step 3: Cross multiply
    128,137.68x = 192,206.52 × 58,015.44
  4. Step 4: Simplify right side
    128,137.68x = 11,150,945,828.67
  5. Step 5: Solve for x
    x = 11,150,945,828.67/128,137.68
  6. Step 6: Final answer
    x = 87,023.16

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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.