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Finding the Fourth Proportional to 129.45, 178.62 and 71.22

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Solution

The fourth proportional to 129.45, 178.62 and 71.22 is: 98.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.45 : 178.62 = 71.22 : x
  2. Step 2: Convert to fraction form
    129.45/178.62 = 71.22/x
  3. Step 3: Cross multiply
    129.45x = 178.62 × 71.22
  4. Step 4: Simplify right side
    129.45x = 12,720.42
  5. Step 5: Solve for x
    x = 12,720.42/129.45
  6. Step 6: Final answer
    x = 98.27

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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.