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Finding the Fourth Proportional to 128.51, 192.71 and 63.47

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Solution

The fourth proportional to 128.51, 192.71 and 63.47 is: 95.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.51 : 192.71 = 63.47 : x
  2. Step 2: Convert to fraction form
    128.51/192.71 = 63.47/x
  3. Step 3: Cross multiply
    128.51x = 192.71 × 63.47
  4. Step 4: Simplify right side
    128.51x = 12,231.30
  5. Step 5: Solve for x
    x = 12,231.30/128.51
  6. Step 6: Final answer
    x = 95.18

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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.