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Finding the Fourth Proportional to 129.14, 192.83 and 106.36

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Solution

The fourth proportional to 129.14, 192.83 and 106.36 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 192.83 = 106.36 : x
  2. Step 2: Convert to fraction form
    129.14/192.83 = 106.36/x
  3. Step 3: Cross multiply
    129.14x = 192.83 × 106.36
  4. Step 4: Simplify right side
    129.14x = 20,510.07
  5. Step 5: Solve for x
    x = 20,510.07/129.14
  6. Step 6: Final answer
    x = 158.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.