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Finding the Fourth Proportional to 129.96, 194.86 and 65.83

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Solution

The fourth proportional to 129.96, 194.86 and 65.83 is: 98.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 194.86 = 65.83 : x
  2. Step 2: Convert to fraction form
    129.96/194.86 = 65.83/x
  3. Step 3: Cross multiply
    129.96x = 194.86 × 65.83
  4. Step 4: Simplify right side
    129.96x = 12,827.63
  5. Step 5: Solve for x
    x = 12,827.63/129.96
  6. Step 6: Final answer
    x = 98.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.