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Finding the Fourth Proportional to 128.61, 192.73 and 101.61

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Solution

The fourth proportional to 128.61, 192.73 and 101.61 is: 152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.61 : 192.73 = 101.61 : x
  2. Step 2: Convert to fraction form
    128.61/192.73 = 101.61/x
  3. Step 3: Cross multiply
    128.61x = 192.73 × 101.61
  4. Step 4: Simplify right side
    128.61x = 19,583.30
  5. Step 5: Solve for x
    x = 19,583.30/128.61
  6. Step 6: Final answer
    x = 152.27

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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.