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Finding the Fourth Proportional to 128.52, 192.38 and 106.74

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Solution

The fourth proportional to 128.52, 192.38 and 106.74 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.52 : 192.38 = 106.74 : x
  2. Step 2: Convert to fraction form
    128.52/192.38 = 106.74/x
  3. Step 3: Cross multiply
    128.52x = 192.38 × 106.74
  4. Step 4: Simplify right side
    128.52x = 20,534.11
  5. Step 5: Solve for x
    x = 20,534.11/128.52
  6. Step 6: Final answer
    x = 159.77

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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.