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Finding the Fourth Proportional to 128,463.92, 192,414.54 and 65,175.33

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Solution

The fourth proportional to 128,463.92, 192,414.54 and 65,175.33 is: 97,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,463.92 : 192,414.54 = 65,175.33 : x
  2. Step 2: Convert to fraction form
    128,463.92/192,414.54 = 65,175.33/x
  3. Step 3: Cross multiply
    128,463.92x = 192,414.54 × 65,175.33
  4. Step 4: Simplify right side
    128,463.92x = 12,540,681,740.65
  5. Step 5: Solve for x
    x = 12,540,681,740.65/128,463.92
  6. Step 6: Final answer
    x = 97,620.26

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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.