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Finding the Fourth Proportional to 128.94, 192.87 and 116.32

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Solution

The fourth proportional to 128.94, 192.87 and 116.32 is: 173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.94 : 192.87 = 116.32 : x
  2. Step 2: Convert to fraction form
    128.94/192.87 = 116.32/x
  3. Step 3: Cross multiply
    128.94x = 192.87 × 116.32
  4. Step 4: Simplify right side
    128.94x = 22,434.16
  5. Step 5: Solve for x
    x = 22,434.16/128.94
  6. Step 6: Final answer
    x = 173.99

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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.