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Finding the Fourth Proportional to 125.64, 173.16 and 84.12

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Solution

The fourth proportional to 125.64, 173.16 and 84.12 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 173.16 = 84.12 : x
  2. Step 2: Convert to fraction form
    125.64/173.16 = 84.12/x
  3. Step 3: Cross multiply
    125.64x = 173.16 × 84.12
  4. Step 4: Simplify right side
    125.64x = 14,566.22
  5. Step 5: Solve for x
    x = 14,566.22/125.64
  6. Step 6: Final answer
    x = 115.94

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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.