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Finding the Fourth Proportional to 128.03, 192.91 and 105.70

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Solution

The fourth proportional to 128.03, 192.91 and 105.70 is: 159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.03 : 192.91 = 105.70 : x
  2. Step 2: Convert to fraction form
    128.03/192.91 = 105.70/x
  3. Step 3: Cross multiply
    128.03x = 192.91 × 105.70
  4. Step 4: Simplify right side
    128.03x = 20,390.59
  5. Step 5: Solve for x
    x = 20,390.59/128.03
  6. Step 6: Final answer
    x = 159.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.