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Finding the Fourth Proportional to 129.12, 177.54 and 114.54

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Solution

The fourth proportional to 129.12, 177.54 and 114.54 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.12 : 177.54 = 114.54 : x
  2. Step 2: Convert to fraction form
    129.12/177.54 = 114.54/x
  3. Step 3: Cross multiply
    129.12x = 177.54 × 114.54
  4. Step 4: Simplify right side
    129.12x = 20,335.43
  5. Step 5: Solve for x
    x = 20,335.43/129.12
  6. Step 6: Final answer
    x = 157.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.