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Finding the Fourth Proportional to 128,196.88, 192,128 and 92,777.44

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Solution

The fourth proportional to 128,196.88, 192,128 and 92,777.44 is: 139,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,196.88 : 192,128 = 92,777.44 : x
  2. Step 2: Convert to fraction form
    128,196.88/192,128 = 92,777.44/x
  3. Step 3: Cross multiply
    128,196.88x = 192,128 × 92,777.44
  4. Step 4: Simplify right side
    128,196.88x = 17,825,143,992.32
  5. Step 5: Solve for x
    x = 17,825,143,992.32/128,196.88
  6. Step 6: Final answer
    x = 139,045.07

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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.