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Finding the Fourth Proportional to 128.64, 194.06 and 123.60

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Solution

The fourth proportional to 128.64, 194.06 and 123.60 is: 186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.64 : 194.06 = 123.60 : x
  2. Step 2: Convert to fraction form
    128.64/194.06 = 123.60/x
  3. Step 3: Cross multiply
    128.64x = 194.06 × 123.60
  4. Step 4: Simplify right side
    128.64x = 23,985.82
  5. Step 5: Solve for x
    x = 23,985.82/128.64
  6. Step 6: Final answer
    x = 186.46

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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.