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Finding the Fourth Proportional to 128.06, 192.10 and 31.88

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Solution

The fourth proportional to 128.06, 192.10 and 31.88 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.06 : 192.10 = 31.88 : x
  2. Step 2: Convert to fraction form
    128.06/192.10 = 31.88/x
  3. Step 3: Cross multiply
    128.06x = 192.10 × 31.88
  4. Step 4: Simplify right side
    128.06x = 6,123.11
  5. Step 5: Solve for x
    x = 6,123.11/128.06
  6. Step 6: Final answer
    x = 47.81

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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.