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Finding the Fourth Proportional to 95.77, 144.06 and 86.86

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Solution

The fourth proportional to 95.77, 144.06 and 86.86 is: 130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.77 : 144.06 = 86.86 : x
  2. Step 2: Convert to fraction form
    95.77/144.06 = 86.86/x
  3. Step 3: Cross multiply
    95.77x = 144.06 × 86.86
  4. Step 4: Simplify right side
    95.77x = 12,513.05
  5. Step 5: Solve for x
    x = 12,513.05/95.77
  6. Step 6: Final answer
    x = 130.66

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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.