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Finding the Fourth Proportional to 125.63, 173.26 and 76.48

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Solution

The fourth proportional to 125.63, 173.26 and 76.48 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.63 : 173.26 = 76.48 : x
  2. Step 2: Convert to fraction form
    125.63/173.26 = 76.48/x
  3. Step 3: Cross multiply
    125.63x = 173.26 × 76.48
  4. Step 4: Simplify right side
    125.63x = 13,250.92
  5. Step 5: Solve for x
    x = 13,250.92/125.63
  6. Step 6: Final answer
    x = 105.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.