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Finding the Fourth Proportional to 115.63, 173.54 and 69.86

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Solution

The fourth proportional to 115.63, 173.54 and 69.86 is: 104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.63 : 173.54 = 69.86 : x
  2. Step 2: Convert to fraction form
    115.63/173.54 = 69.86/x
  3. Step 3: Cross multiply
    115.63x = 173.54 × 69.86
  4. Step 4: Simplify right side
    115.63x = 12,124.11
  5. Step 5: Solve for x
    x = 12,124.11/115.63
  6. Step 6: Final answer
    x = 104.85

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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.