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Finding the Fourth Proportional to 129.60, 193.14 and 125.89

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Solution

The fourth proportional to 129.60, 193.14 and 125.89 is: 187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.60 : 193.14 = 125.89 : x
  2. Step 2: Convert to fraction form
    129.60/193.14 = 125.89/x
  3. Step 3: Cross multiply
    129.60x = 193.14 × 125.89
  4. Step 4: Simplify right side
    129.60x = 24,314.39
  5. Step 5: Solve for x
    x = 24,314.39/129.60
  6. Step 6: Final answer
    x = 187.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.