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Finding the Fourth Proportional to 128.16, 193.14 and 120.06

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Solution

The fourth proportional to 128.16, 193.14 and 120.06 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 193.14 = 120.06 : x
  2. Step 2: Convert to fraction form
    128.16/193.14 = 120.06/x
  3. Step 3: Cross multiply
    128.16x = 193.14 × 120.06
  4. Step 4: Simplify right side
    128.16x = 23,188.39
  5. Step 5: Solve for x
    x = 23,188.39/128.16
  6. Step 6: Final answer
    x = 180.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.