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Finding the Fourth Proportional to 129.95, 195.05 and 57.86

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Solution

The fourth proportional to 129.95, 195.05 and 57.86 is: 86.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.95 : 195.05 = 57.86 : x
  2. Step 2: Convert to fraction form
    129.95/195.05 = 57.86/x
  3. Step 3: Cross multiply
    129.95x = 195.05 × 57.86
  4. Step 4: Simplify right side
    129.95x = 11,285.59
  5. Step 5: Solve for x
    x = 11,285.59/129.95
  6. Step 6: Final answer
    x = 86.85

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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.